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3689905920 = 28352773469
BaseRepresentation
bin1101101111101111…
…0111111100000000
3100112011012122100020
43123323313330000
530024103442140
61410051253440
7160303453131
oct33373677400
910464178306
103689905920
111623945a28
1286b8aa280
1346a5cb2ac
142700b3c88
15168e206d0
hexdbef7f00

3689905920 has 144 divisors (see below), whose sum is σ = 11830590240. Its totient is φ = 980140032.

The previous prime is 3689905907. The next prime is 3689905931. The reversal of 3689905920 is 295099863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061946 + ... + 1065414.

Almost surely, 23689905920 is an apocalyptic number.

3689905920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3689905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915295120).

3689905920 is an abundant number, since it is smaller than the sum of its proper divisors (8140684320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3689905920 is a wasteful number, since it uses less digits than its factorization.

3689905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 3689905920 is about 60744.5958090100. The cubic root of 3689905920 is about 1545.2725778749.

The spelling of 3689905920 in words is "three billion, six hundred eighty-nine million, nine hundred five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 277 320 384 480 554 640 768 831 960 1108 1280 1385 1662 1920 2216 2770 3324 3469 3840 4155 4432 5540 6648 6938 8310 8864 10407 11080 13296 13876 16620 17345 17728 20814 22160 26592 27752 33240 34690 35456 41628 44320 52035 53184 55504 66480 69380 70912 83256 88640 104070 106368 111008 132960 138760 166512 177280 208140 212736 222016 265920 277520 333024 354560 416280 444032 531840 555040 666048 832560 888064 960913 1063680 1110080 1332096 1665120 1921826 2220160 2664192 2882739 3330240 3843652 4440320 4804565 5765478 6660480 7687304 9609130 11530956 13320960 14413695 15374608 19218260 23061912 28827390 30749216 38436520 46123824 57654780 61498432 76873040 92247648 115309560 122996864 153746080 184495296 230619120 245993728 307492160 368990592 461238240 614984320 737981184 922476480 1229968640 1844952960 3689905920