3239974920 has 512 divisors, whose sum is σ = 13098516480. Its totient is φ = 621527040.

The previous prime is 3239974909. The next prime is 3239974921. The reversal of 3239974920 is 294799323.

It is a self number, because there is not a number n which added to its sum of digits gives 3239974920.

It is not an unprimeable number, because it can be changed into a prime (3239974921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5754559 + ... + 5755121.

It is an arithmetic number, because the mean of its divisors is an integer number (25583040).

Almost surely, 2^3239974920 is an apocalyptic number.

3239974920 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 3239974920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549258240).

3239974920 is an abundant number, since it is smaller than the sum of its proper divisors (9858541560).

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

3239974920 is a wasteful number, since it uses less digits than its factorization.

3239974920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 3239974920 is about 56920.7775772608. Note that the first 3 decimals coincide. The cubic root of 3239974920 is about 1479.7234265268.

The spelling of 3239974920 in words is "three billion, two hundred thirty-nine million, nine hundred seventy-four thousand, nine hundred twenty".