388347080625 has 135 divisors (see below), whose sum is σ = 816087469197. Its totient is φ = 177380532000.

The previous prime is 388347080599. The next prime is 388347080633. The reversal of 388347080625 is 526080743883.

The square root of 388347080625 is 623175.

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

388347080625 is a `hidden beast` number, since 3 + 8 + 8 + 3 + 4 + 7 + 0 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30446411121 + 357900669504 = 174489^2 + 598248^2 .

It is not a de Polignac number, because 388347080625 - 2⁵ = 388347080593 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 327166282 + ... + 327167468.

Almost surely, 2^388347080625 is an apocalyptic number.

388347080625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

388347080625 is the 623175-th square number.

388347080625 is the 311588-th centered octagonal number.

It is an amenable number.

388347080625 is an abundant number, since it is smaller than the sum of its proper divisors (427740388572).

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

388347080625 is an frugal number, since it uses more digits than its factorization.

388347080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 388347080625 in words is "three hundred eighty-eight billion, three hundred forty-seven million, eighty thousand, six hundred twenty-five".