3765632256 has 108 divisors (see below), whose sum is σ = 10880277408. Its totient is φ = 1252549632.

The previous prime is 3765632251. The next prime is 3765632267. The reversal of 3765632256 is 6522365673.

3765632256 is a `hidden beast` number, since 3 + 7 + 6 + 5 + 632 + 2 + 5 + 6 = 666.

It is a super-4 number, since 4×3765632256⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3765632251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1295701 + ... + 1298603.

Almost surely, 2^3765632256 is an apocalyptic number.

3765632256 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 3765632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440138704).

3765632256 is an abundant number, since it is smaller than the sum of its proper divisors (7114645152).

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

3765632256 is a wasteful number, since it uses less digits than its factorization.

3765632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3471 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The square root of 3765632256 is about 61364.7476650886. The cubic root of 3765632256 is about 1555.7720625750.

The spelling of 3765632256 in words is "three billion, seven hundred sixty-five million, six hundred thirty-two thousand, two hundred fifty-six".