388164900 has 72 divisors (see below), whose sum is σ = 1134753760. Its totient is φ = 102435840.

The previous prime is 388164853. The next prime is 388164911. The reversal of 388164900 is 9461883.

It is a super-3 number, since 3×388164900³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22431 + ... + 35769.

Almost surely, 2^388164900 is an apocalyptic number.

388164900 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 388164900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567376880).

388164900 is an abundant number, since it is smaller than the sum of its proper divisors (746588860).

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

388164900 is a wasteful number, since it uses less digits than its factorization.

388164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13453 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 388164900 is about 19701.9009235150. The cubic root of 388164900 is about 729.4666148103.

The spelling of 388164900 in words is "three hundred eighty-eight million, one hundred sixty-four thousand, nine hundred".