3813368832 has 264 divisors, whose sum is σ = 13555004736. Its totient is φ = 1005502464.

The previous prime is 3813368813. The next prime is 3813368843. The reversal of 3813368832 is 2388633183.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836383 + ... + 840929.

Almost surely, 2^3813368832 is an apocalyptic number.

3813368832 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 3813368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777502368).

3813368832 is an abundant number, since it is smaller than the sum of its proper divisors (9741635904).

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

3813368832 is a wasteful number, since it uses less digits than its factorization.

3813368832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4572 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3813368832 is about 61752.4803712369. The cubic root of 3813368832 is about 1562.3186034709.

The spelling of 3813368832 in words is "three billion, eight hundred thirteen million, three hundred sixty-eight thousand, eight hundred thirty-two".