389890100 has 72 divisors (see below), whose sum is σ = 879610368. Its totient is φ = 149846400.

The previous prime is 389890099. The next prime is 389890117. The reversal of 389890100 is 1098983.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535937 + ... + 536663.

Almost surely, 2^389890100 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 389890100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439805184).

389890100 is an abundant number, since it is smaller than the sum of its proper divisors (489720268).

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

389890100 is a wasteful number, since it uses less digits than its factorization.

389890100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 389890100 is about 19745.6349606692. The cubic root of 389890100 is about 730.5457231659.

The spelling of 389890100 in words is "three hundred eighty-nine million, eight hundred ninety thousand, one hundred".