3760268832 has 120 divisors (see below), whose sum is σ = 11146899456. Its totient is φ = 1243444608.

The previous prime is 3760268803. The next prime is 3760268833. The reversal of 3760268832 is 2388620673.

3760268832 is a `hidden beast` number, since 3 + 7 + 602 + 6 + 8 + 8 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (3760268833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 323473 + ... + 334895.

Almost surely, 2^3760268832 is an apocalyptic number.

3760268832 is a gapful number since it is divisible by the number (32) 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 3760268832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573449728).

3760268832 is an abundant number, since it is smaller than the sum of its proper divisors (7386630624).

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

3760268832 is a wasteful number, since it uses less digits than its factorization.

3760268832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11572 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3760268832 is about 61321.0309110993. The cubic root of 3760268832 is about 1555.0330782210.

The spelling of 3760268832 in words is "three billion, seven hundred sixty million, two hundred sixty-eight thousand, eight hundred thirty-two".