3695882256 has 240 divisors, whose sum is σ = 11829242880. Its totient is φ = 1107768960.

The previous prime is 3695882237. The next prime is 3695882303. The reversal of 3695882256 is 6522885963.

3695882256 is a `hidden beast` number, since 3 + 6 + 9 + 588 + 2 + 2 + 56 = 666.

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

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, 4404685 + ... + 4405523.

It is an arithmetic number, because the mean of its divisors is an integer number (49288512).

Almost surely, 2^3695882256 is an apocalyptic number.

3695882256 is a gapful number since it is divisible by the number (36) 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 3695882256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914621440).

3695882256 is an abundant number, since it is smaller than the sum of its proper divisors (8133360624).

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

3695882256 is a wasteful number, since it uses less digits than its factorization.

3695882256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 958 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 3695882256 is about 60793.7682332655. The cubic root of 3695882256 is about 1546.1063919771.

The spelling of 3695882256 in words is "three billion, six hundred ninety-five million, eight hundred eighty-two thousand, two hundred fifty-six".