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3880937376 = 253213475477
BaseRepresentation
bin1110011101010010…
…0110011110100000
3101000110200001020100
43213110212132200
530422004444001
61441033542400
7165113265141
oct34724463640
911013601210
103880937376
111711762768
12903874a00
1349b065364
1428b5ddac8
1517aaa7586
hexe75267a0

3880937376 has 36 divisors (see below), whose sum is σ = 11036416482. Its totient is φ = 1293645696.

The previous prime is 3880937273. The next prime is 3880937381. The reversal of 3880937376 is 6737390883.

3880937376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2881112976 + 999824400 = 53676^2 + 31620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6737451 + ... + 6738026.

Almost surely, 23880937376 is an apocalyptic number.

3880937376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3880937376 is an abundant number, since it is smaller than the sum of its proper divisors (7155479106).

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

3880937376 is a wasteful number, since it uses less digits than its factorization.

3880937376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13475493 (or 13475482 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3880937376 is about 62297.1698875639. The cubic root of 3880937376 is about 1571.4921343703.

The spelling of 3880937376 in words is "three billion, eight hundred eighty million, nine hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13475477 26950954 40426431 53901908 80852862 107803816 121279293 161705724 215607632 242558586 323411448 431215264 485117172 646822896 970234344 1293645792 1940468688 3880937376