386573681088 has 448 divisors, whose sum is σ = 1337511168000. Its totient is φ = 107186872320.

The previous prime is 386573681069. The next prime is 386573681107. The reversal of 386573681088 is 880186375683.

It is an interprime number because it is at equal distance from previous prime (386573681069) and next prime (386573681107).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98689306 + ... + 98693222.

It is an arithmetic number, because the mean of its divisors is an integer number (2985516000).

Almost surely, 2^386573681088 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 386573681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668755584000).

386573681088 is an abundant number, since it is smaller than the sum of its proper divisors (950937486912).

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

386573681088 is a wasteful number, since it uses less digits than its factorization.

386573681088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 386573681088 in words is "three hundred eighty-six billion, five hundred seventy-three million, six hundred eighty-one thousand, eighty-eight".