3658837064960 has 288 divisors, whose sum is σ = 11501709004800. Its totient is φ = 1080394260480.

The previous prime is 3658837064957. The next prime is 3658837065001. The reversal of 3658837064960 is 694607388563.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895721 + ... + 2849559.

It is an arithmetic number, because the mean of its divisors is an integer number (39936489600).

Almost surely, 2^{3658837064960} 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 3658837064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750854502400).

3658837064960 is an abundant number, since it is smaller than the sum of its proper divisors (7842871939840).

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

3658837064960 is a wasteful number, since it uses less digits than its factorization.

3658837064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953897 (or 1953883 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 65.

The spelling of 3658837064960 in words is "three trillion, six hundred fifty-eight billion, eight hundred thirty-seven million, sixty-four thousand, nine hundred sixty".