3096904970880 has 768 divisors, whose sum is σ = 13027918176000. Its totient is φ = 661731803136.

The previous prime is 3096904970879. The next prime is 3096904970917. The reversal of 3096904970880 is 880794096903.

3096904970880 is a `hidden beast` number, since 3 + 0 + 9 + 69 + 0 + 497 + 0 + 8 + 80 = 666.

It is a super-2 number, since 2×3096904970880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 102115399 + ... + 102145721.

It is an arithmetic number, because the mean of its divisors is an integer number (16963435125).

Almost surely, 2^{3096904970880} is an apocalyptic number.

3096904970880 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 3096904970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513959088000).

3096904970880 is an abundant number, since it is smaller than the sum of its proper divisors (9931013205120).

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

3096904970880 is a wasteful number, since it uses less digits than its factorization.

3096904970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30521 (or 30506 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 3096904970880 in words is "three trillion, ninety-six billion, nine hundred four million, nine hundred seventy thousand, eight hundred eighty".