3090804147936 has 144 divisors (see below), whose sum is σ = 8987083179984. Its totient is φ = 1007361073152.

The previous prime is 3090804147919. The next prime is 3090804147953. The reversal of 3090804147936 is 6397414080903.

It is a happy number.

3090804147936 is a `hidden beast` number, since 3 + 0 + 90 + 80 + 4 + 1 + 479 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3090804147919) and next prime (3090804147953).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652190 + ... + 2985186.

It is an arithmetic number, because the mean of its divisors is an integer number (62410299861).

Almost surely, 2^{3090804147936} is an apocalyptic number.

3090804147936 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 3090804147936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493541589992).

3090804147936 is an abundant number, since it is smaller than the sum of its proper divisors (5896279032048).

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

3090804147936 is a wasteful number, since it uses less digits than its factorization.

3090804147936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333193 (or 1333182 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3090804147936 in words is "three trillion, ninety billion, eight hundred four million, one hundred forty-seven thousand, nine hundred thirty-six".