3132232320 has 256 divisors, whose sum is σ = 12082348800. Its totient is φ = 673775616.

The previous prime is 3132232307. The next prime is 3132232321. The reversal of 3132232320 is 232322313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3132232321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221626 + ... + 235334.

It is an arithmetic number, because the mean of its divisors is an integer number (47196675).

Almost surely, 2^3132232320 is an apocalyptic number.

3132232320 is a gapful number since it is divisible by the number (30) 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 3132232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041174400).

3132232320 is an abundant number, since it is smaller than the sum of its proper divisors (8950116480).

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

3132232320 is a wasteful number, since it uses less digits than its factorization.

3132232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13755 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3132232320 is about 55966.3498899115. The cubic root of 3132232320 is about 1463.1358631747.

Adding to 3132232320 its reverse (232322313), we get a palindrome (3364554633).

The spelling of 3132232320 in words is "three billion, one hundred thirty-two million, two hundred thirty-two thousand, three hundred twenty".