388870200 has 384 divisors, whose sum is σ = 1457049600. Its totient is φ = 95040000.

The previous prime is 388870171. The next prime is 388870213. The reversal of 388870200 is 2078883.

388870200 is a `hidden beast` number, since 388 + 8 + 70 + 200 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 3850150 + ... + 3850250.

It is an arithmetic number, because the mean of its divisors is an integer number (3794400).

Almost surely, 2^388870200 is an apocalyptic number.

388870200 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 388870200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728524800).

388870200 is an abundant number, since it is smaller than the sum of its proper divisors (1068179400).

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

388870200 is a wasteful number, since it uses less digits than its factorization.

388870200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 388870200 is about 19719.7920881535. The cubic root of 388870200 is about 729.9081638397.

It can be divided in two parts, 3888 and 70200, that added together give a cube (74088 = 42³).

The spelling of 388870200 in words is "three hundred eighty-eight million, eight hundred seventy thousand, two hundred".