3231824904 has 384 divisors, whose sum is σ = 11357798400. Its totient is φ = 806008320.

The previous prime is 3231824861. The next prime is 3231824963. The reversal of 3231824904 is 4094281323.

It is a super-2 number, since 2×3231824904² = 20889384420229218432, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20584794 + ... + 20584950.

It is an arithmetic number, because the mean of its divisors is an integer number (29577600).

Almost surely, 2^3231824904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3231824904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678899200).

3231824904 is an abundant number, since it is smaller than the sum of its proper divisors (8125973496).

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

3231824904 is a wasteful number, since it uses less digits than its factorization.

3231824904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3231824904 is about 56849.1416294037. The cubic root of 3231824904 is about 1478.4816580978.

The spelling of 3231824904 in words is "three billion, two hundred thirty-one million, eight hundred twenty-four thousand, nine hundred four".