386624888432640 has 4608 divisors, whose sum is σ = 1739206909440000. Its totient is φ = 80686861516800.

The previous prime is 386624888432599. The next prime is 386624888432641. The reversal of 386624888432640 is 46234888426683.

386624888432640 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 2 + 488 + 84 + 3 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (386624888432641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 586684200631 + ... + 586684201289.

It is an arithmetic number, because the mean of its divisors is an integer number (377432055000).

Almost surely, 2^{386624888432640} is an apocalyptic number.

386624888432640 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 386624888432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869603454720000).

386624888432640 is an abundant number, since it is smaller than the sum of its proper divisors (1352582021007360).

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

386624888432640 is a wasteful number, since it uses less digits than its factorization.

386624888432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 2038431744, while the sum is 72.

The spelling of 386624888432640 in words is "three hundred eighty-six trillion, six hundred twenty-four billion, eight hundred eighty-eight million, four hundred thirty-two thousand, six hundred forty".