3308504372992 has 288 divisors, whose sum is σ = 8312284108800. Its totient is φ = 1305971896320.

The previous prime is 3308504372989. The next prime is 3308504373067. The reversal of 3308504372992 is 2992734058033.

It is a super-2 number, since 2×3308504372992² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560475513 + ... + 560481415.

It is an arithmetic number, because the mean of its divisors is an integer number (28862097600).

Almost surely, 2^{3308504372992} is an apocalyptic number.

3308504372992 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 3308504372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156142054400).

3308504372992 is an abundant number, since it is smaller than the sum of its proper divisors (5003779735808).

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

3308504372992 is an equidigital number, since it uses as much as digits as its factorization.

3308504372992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 3308504372992 in words is "three trillion, three hundred eight billion, five hundred four million, three hundred seventy-two thousand, nine hundred ninety-two".