386028011520 has 588 divisors, whose sum is σ = 1402817858316. Its totient is φ = 101921587200.

The previous prime is 386028011519. The next prime is 386028011533. The reversal of 386028011520 is 25110820683.

It is a happy number.

386028011520 is a `hidden beast` number, since 38 + 602 + 8 + 0 + 1 + 15 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 275952697344 + 110075314176 = 525312^2 + 331776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3822059470 + ... + 3822059570.

It is an arithmetic number, because the mean of its divisors is an integer number (2385744657).

Almost surely, 2^386028011520 is an apocalyptic number.

386028011520 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 386028011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701408929158).

386028011520 is an abundant number, since it is smaller than the sum of its proper divisors (1016789846796).

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

386028011520 is an frugal number, since it uses more digits than its factorization.

386028011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 386028011520 in words is "three hundred eighty-six billion, twenty-eight million, eleven thousand, five hundred twenty".