3090866688000 has 3276 divisors, whose sum is σ = 14568258253068. Its totient is φ = 652138905600.

The previous prime is 3090866687983. The next prime is 3090866688029. The reversal of 3090866688000 is 8866680903.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2177725906944 + 913140781056 = 1475712^2 + 955584^2 .

It is a tau number, because it is divible by the number of its divisors (3276).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 237758975994 + ... + 237758976006.

Almost surely, 2^{3090866688000} is an apocalyptic number.

3090866688000 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 3090866688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284129126534).

3090866688000 is an abundant number, since it is smaller than the sum of its proper divisors (11477391565068).

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

3090866688000 is an frugal number, since it uses more digits than its factorization.

3090866688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3090866688000 in words is "three trillion, ninety billion, eight hundred sixty-six million, six hundred eighty-eight thousand".