390335136 has 72 divisors (see below), whose sum is σ = 1058998752. Its totient is φ = 125884800.

The previous prime is 390335059. The next prime is 390335173. The reversal of 390335136 is 631533093.

It is a super-2 number, since 2×390335136² = 304723036792276992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 390335097 and 390335106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90141 + ... + 94371.

It is an arithmetic number, because the mean of its divisors is an integer number (14708316).

Almost surely, 2^390335136 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 390335136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529499376).

390335136 is an abundant number, since it is smaller than the sum of its proper divisors (668663616).

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

390335136 is a wasteful number, since it uses less digits than its factorization.

390335136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 33.

The square root of 390335136 is about 19756.9009715593. The cubic root of 390335136 is about 730.8235754150.

The spelling of 390335136 in words is "three hundred ninety million, three hundred thirty-five thousand, one hundred thirty-six".