386096225598720 has 6480 divisors, whose sum is σ = 1873319865056640. Its totient is φ = 74135150788608.

The previous prime is 386096225598647. The next prime is 386096225598791. The reversal of 386096225598720 is 27895522690683.

386096225598720 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 9 + 6 + 2 + 2 + 5 + 598 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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

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 719 ways as a sum of consecutive naturals, for example, 1959879317662 + ... + 1959879317858.

It is an arithmetic number, because the mean of its divisors is an integer number (289092571768).

Almost surely, 2^{386096225598720} is an apocalyptic number.

386096225598720 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 386096225598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936659932528320).

386096225598720 is an abundant number, since it is smaller than the sum of its proper divisors (1487223639457920).

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

386096225598720 is a wasteful number, since it uses less digits than its factorization.

386096225598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 386096225598720 in words is "three hundred eighty-six trillion, ninety-six billion, two hundred twenty-five million, five hundred ninety-eight thousand, seven hundred twenty".