3090857612544 has 144 divisors (see below), whose sum is σ = 9843303064000. Its totient is φ = 951033083904.

The previous prime is 3090857612477. The next prime is 3090857612641. The reversal of 3090857612544 is 4452167580903.

It is a happy number.

3090857612544 is a `hidden beast` number, since 3 + 0 + 9 + 0 + 8 + 576 + 1 + 25 + 44 = 666.

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

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17109094 + ... + 17288805.

It is a 1-persistent number, because it is pandigital, but 2⋅3090857612544 = 6181715225088 is not.

Almost surely, 2^{3090857612544} is an apocalyptic number.

It is an amenable number.

3090857612544 is an abundant number, since it is smaller than the sum of its proper divisors (6752445451456).

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

3090857612544 is a wasteful number, since it uses less digits than its factorization.

3090857612544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34397937 (or 34397917 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 3090857612544 in words is "three trillion, ninety billion, eight hundred fifty-seven million, six hundred twelve thousand, five hundred forty-four".