3877536960 has 336 divisors, whose sum is σ = 15039746400. Its totient is φ = 939755520.

The previous prime is 3877536917. The next prime is 3877536977. The reversal of 3877536960 is 696357783.

3877536960 is a `hidden beast` number, since 38 + 77 + 536 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3877536897 and 3877536906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043586 + ... + 1047294.

It is an arithmetic number, because the mean of its divisors is an integer number (44761150).

Almost surely, 2^3877536960 is an apocalyptic number.

3877536960 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 3877536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519873200).

3877536960 is an abundant number, since it is smaller than the sum of its proper divisors (11162209440).

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

3877536960 is a wasteful number, since it uses less digits than its factorization.

3877536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3877536960 is about 62269.8720088616. The cubic root of 3877536960 is about 1571.0330280654.

The spelling of 3877536960 in words is "three billion, eight hundred seventy-seven million, five hundred thirty-six thousand, nine hundred sixty".