3090680237120 has 336 divisors, whose sum is σ = 8742331237680. Its totient is φ = 1037464436736.

The previous prime is 3090680237089. The next prime is 3090680237147. The reversal of 3090680237120 is 217320860903.

3090680237120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 481890304 + 3090198346816 = 21952^2 + 1757896^2 .

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, 156805826 + ... + 156825534.

Almost surely, 2^{3090680237120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3090680237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371165618840).

3090680237120 is an abundant number, since it is smaller than the sum of its proper divisors (5651651000560).

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

3090680237120 is a wasteful number, since it uses less digits than its factorization.

3090680237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19950 (or 19933 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 3090680237120 in words is "three trillion, ninety billion, six hundred eighty million, two hundred thirty-seven thousand, one hundred twenty".