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3678340032 = 26332128669
BaseRepresentation
bin1101101100111111…
…0000001111000000
3100111100110000221000
43123033300033000
530013123340112
61404555332000
7160103242263
oct33317601700
910440400830
103678340032
111618366344
12867a51000
134680aba83
1426c742cda
15167dd87dc
hexdb3f03c0

3678340032 has 56 divisors (see below), whose sum is σ = 10813643600. Its totient is φ = 1226112768.

The previous prime is 3678340027. The next prime is 3678340087. The reversal of 3678340032 is 2300438763.

3678340032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36783400322 = 27060370782027522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1062607 + ... + 1066062.

Almost surely, 23678340032 is an apocalyptic number.

3678340032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3678340032 is an abundant number, since it is smaller than the sum of its proper divisors (7135303568).

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

3678340032 is a wasteful number, since it uses less digits than its factorization.

3678340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128690 (or 2128674 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3678340032 is about 60649.3201280938. The cubic root of 3678340032 is about 1543.6563527757.

Adding to 3678340032 its reverse (2300438763), we get a palindrome (5978778795).

The spelling of 3678340032 in words is "three billion, six hundred seventy-eight million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2128669 4257338 6386007 8514676 12772014 17029352 19158021 25544028 34058704 38316042 51088056 57474063 68117408 76632084 102176112 114948126 136234816 153264168 204352224 229896252 306528336 408704448 459792504 613056672 919585008 1226113344 1839170016 3678340032