388180000 has 120 divisors (see below), whose sum is σ = 1029129948. Its totient is φ = 143232000.

The previous prime is 388179991. The next prime is 388180031. The reversal of 388180000 is 81883.

It can be written as a sum of positive squares in 10 ways, for example, as 27331984 + 360848016 = 5228^2 + 18996^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259254 + ... + 260746.

Almost surely, 2^388180000 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 388180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514564974).

388180000 is an abundant number, since it is smaller than the sum of its proper divisors (640949948).

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

388180000 is a wasteful number, since it uses less digits than its factorization.

388180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 388180000 is about 19702.2841315417. The cubic root of 388180000 is about 729.4760736795.

The spelling of 388180000 in words is "three hundred eighty-eight million, one hundred eighty thousand".