3231763920 has 960 divisors, whose sum is σ = 14975041536. Its totient is φ = 627056640.

The previous prime is 3231763901. The next prime is 3231763933. The reversal of 3231763920 is 293671323.

3231763920 is a `hidden beast` number, since 3 + 2 + 3 + 17 + 639 + 2 + 0 = 666.

It is a super-2 number, since 2×3231763920² = 20888596069227532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25446897 + ... + 25447023.

Almost surely, 2^3231763920 is an apocalyptic number.

3231763920 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 3231763920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487520768).

3231763920 is an abundant number, since it is smaller than the sum of its proper divisors (11743277616).

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

3231763920 is a wasteful number, since it uses less digits than its factorization.

3231763920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3231763920 is about 56848.6052599358. The cubic root of 3231763920 is about 1478.4723584714.

The spelling of 3231763920 in words is "three billion, two hundred thirty-one million, seven hundred sixty-three thousand, nine hundred twenty".