3835360656 has 60 divisors (see below), whose sum is σ = 10738313820. Its totient is φ = 1277902080.

The previous prime is 3835360643. The next prime is 3835360673. The reversal of 3835360656 is 6560635383.

3835360656 is a `hidden beast` number, since 3 + 8 + 35 + 3 + 606 + 5 + 6 = 666.

3835360656 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 2 ways, for example, as 3273670656 + 561690000 = 57216^2 + 23700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459690 + ... + 467958.

It is an arithmetic number, because the mean of its divisors is an integer number (178971897).

Almost surely, 2^3835360656 is an apocalyptic number.

3835360656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3835360656 is an abundant number, since it is smaller than the sum of its proper divisors (6902953164).

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

3835360656 is a wasteful number, since it uses less digits than its factorization.

3835360656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11504 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 3835360656 is about 61930.2886800958. The cubic root of 3835360656 is about 1565.3161628217.

The spelling of 3835360656 in words is "three billion, eight hundred thirty-five million, three hundred sixty thousand, six hundred fifty-six".