3231765120 has 256 divisors, whose sum is σ = 10716364800. Its totient is φ = 827805696.

The previous prime is 3231765049. The next prime is 3231765209. The reversal of 3231765120 is 215671323.

It is a super-2 number, since 2×3231765120² = 20888611581697228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5323857 + ... + 5324463.

It is an arithmetic number, because the mean of its divisors is an integer number (41860800).

Almost surely, 2^3231765120 is an apocalyptic number.

3231765120 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 3231765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358182400).

3231765120 is an abundant number, since it is smaller than the sum of its proper divisors (7484599680).

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

3231765120 is a wasteful number, since it uses less digits than its factorization.

3231765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3231765120 is about 56848.6158142835. The cubic root of 3231765120 is about 1478.4725414640.

The spelling of 3231765120 in words is "three billion, two hundred thirty-one million, seven hundred sixty-five thousand, one hundred twenty".