3082972508352 has 336 divisors, whose sum is σ = 10166646672000. Its totient is φ = 918396610560.

The previous prime is 3082972508339. The next prime is 3082972508431. The reversal of 3082972508352 is 2538052792803.

It is a happy number.

3082972508352 is a `hidden beast` number, since 3 + 0 + 82 + 9 + 7 + 2 + 508 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9940524 + ... + 10245972.

It is an arithmetic number, because the mean of its divisors is an integer number (30257877000).

Almost surely, 2^{3082972508352} is an apocalyptic number.

3082972508352 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 3082972508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083323336000).

3082972508352 is an abundant number, since it is smaller than the sum of its proper divisors (7083674163648).

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

3082972508352 is a wasteful number, since it uses less digits than its factorization.

3082972508352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305546 (or 305524 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 3082972508352 in words is "three trillion, eighty-two billion, nine hundred seventy-two million, five hundred eight thousand, three hundred fifty-two".