386961131844 has 135 divisors (see below), whose sum is σ = 1176989251053. Its totient is φ = 110537929152.

The previous prime is 386961131803. The next prime is 386961131861. The reversal of 386961131844 is 448131169683.

The square root of 386961131844 is 622062.

It is a perfect power (a square), and thus also a powerful number.

386961131844 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 611 + 3 + 18 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 168206616900 + 218754514944 = 410130^2 + 467712^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 78377344 + ... + 78382280.

Almost surely, 2^386961131844 is an apocalyptic number.

386961131844 is the 622062-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386961131844

386961131844 is an abundant number, since it is smaller than the sum of its proper divisors (790028119209).

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

386961131844 is an frugal number, since it uses more digits than its factorization.

386961131844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9904 (or 4949 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 386961131844 in words is "three hundred eighty-six billion, nine hundred sixty-one million, one hundred thirty-one thousand, eight hundred forty-four".