3230409517920 has 384 divisors, whose sum is σ = 12184982409600. Its totient is φ = 794601529344.

The previous prime is 3230409517889. The next prime is 3230409517943. The reversal of 3230409517920 is 297159040323.

3230409517920 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 40 + 9 + 517 + 92 + 0 = 666.

It is a super-2 number, since 2×3230409517920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80232514 + ... + 80272766.

It is an arithmetic number, because the mean of its divisors is an integer number (31731725025).

Almost surely, 2^{3230409517920} is an apocalyptic number.

3230409517920 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 3230409517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092491204800).

3230409517920 is an abundant number, since it is smaller than the sum of its proper divisors (8954572891680).

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

3230409517920 is a wasteful number, since it uses less digits than its factorization.

3230409517920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41719 (or 41705 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 3230409517920 in words is "three trillion, two hundred thirty billion, four hundred nine million, five hundred seventeen thousand, nine hundred twenty".