3090872100096 has 1008 divisors, whose sum is σ = 11033340369408. Its totient is φ = 852797030400.

The previous prime is 3090872100077. The next prime is 3090872100133. The reversal of 3090872100096 is 6900012780903.

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 111 ways as a sum of consecutive naturals, for example, 1081857900 + ... + 1081860756.

It is an arithmetic number, because the mean of its divisors is an integer number (10945774176).

Almost surely, 2^{3090872100096} is an apocalyptic number.

3090872100096 is a gapful number since it is divisible by the number (36) 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 3090872100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516670184704).

3090872100096 is an abundant number, since it is smaller than the sum of its proper divisors (7942468269312).

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

3090872100096 is a wasteful number, since it uses less digits than its factorization.

3090872100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

Adding to 3090872100096 its reverse (6900012780903), we get a palindrome (9990884880999).

The spelling of 3090872100096 in words is "three trillion, ninety billion, eight hundred seventy-two million, one hundred thousand, ninety-six".