390109888 has 56 divisors (see below), whose sum is σ = 899769600. Its totient is φ = 164345088.

The previous prime is 390109879. The next prime is 390109927. The reversal of 390109888 is 888901093.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19053 + ... + 33811.

Almost surely, 2^390109888 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 390109888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449884800).

390109888 is an abundant number, since it is smaller than the sum of its proper divisors (509659712).

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

390109888 is a wasteful number, since it uses less digits than its factorization.

390109888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14837 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 390109888 is about 19751.1996597675. The cubic root of 390109888 is about 730.6829712620.

The spelling of 390109888 in words is "three hundred ninety million, one hundred nine thousand, eight hundred eighty-eight".