3231772992 has 560 divisors, whose sum is σ = 11772351360. Its totient is φ = 856977408.

The previous prime is 3231772979. The next prime is 3231773009. The reversal of 3231772992 is 2992771323.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38936983 + ... + 38937065.

It is an arithmetic number, because the mean of its divisors is an integer number (21022056).

Almost surely, 2^3231772992 is an apocalyptic number.

3231772992 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 3231772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886175680).

3231772992 is an abundant number, since it is smaller than the sum of its proper divisors (8540578368).

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

3231772992 is a wasteful number, since it uses less digits than its factorization.

3231772992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 3231772992 is about 56848.6850507556. The cubic root of 3231772992 is about 1478.4737418943.

The spelling of 3231772992 in words is "three billion, two hundred thirty-one million, seven hundred seventy-two thousand, nine hundred ninety-two".