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3728201840 = 2451112733359
BaseRepresentation
bin1101111000110111…
…1101100001110000
3100121211021021110122
43132031331201300
530113404424330
61413540145412
7161250123056
oct33615754160
910554237418
103728201840
111643522250
12880698268
134755192bc
142752021d6
1516c4875e5
hexde37d870

3728201840 has 80 divisors (see below), whose sum is σ = 9530818560. Its totient is φ = 1344994560.

The previous prime is 3728201837. The next prime is 3728201849. The reversal of 3728201840 is 481028273.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3728201840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728201849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95081 + ... + 128439.

It is an arithmetic number, because the mean of its divisors is an integer number (119135232).

Almost surely, 23728201840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728201840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765409280).

3728201840 is an abundant number, since it is smaller than the sum of its proper divisors (5802616720).

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

3728201840 is a wasteful number, since it uses less digits than its factorization.

3728201840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33510 (or 33504 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 3728201840 is about 61059.0029397795. The cubic root of 3728201840 is about 1550.6000923023.

The spelling of 3728201840 in words is "three billion, seven hundred twenty-eight million, two hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1270 1397 2032 2540 2794 5080 5588 6985 10160 11176 13970 22352 27940 33359 55880 66718 111760 133436 166795 266872 333590 366949 533744 667180 733898 1334360 1467796 1834745 2668720 2935592 3669490 4236593 5871184 7338980 8473186 14677960 16946372 21182965 29355920 33892744 42365930 46602523 67785488 84731860 93205046 169463720 186410092 233012615 338927440 372820184 466025230 745640368 932050460 1864100920 3728201840