390765672 has 96 divisors (see below), whose sum is σ = 1222490880. Its totient is φ = 111444480.

The previous prime is 390765659. The next prime is 390765677. The reversal of 390765672 is 276567093.

It is a super-3 number, since 3×390765672³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (390765677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048 + ... + 27975.

It is an arithmetic number, because the mean of its divisors is an integer number (12734280).

Almost surely, 2^390765672 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 390765672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611245440).

390765672 is an abundant number, since it is smaller than the sum of its proper divisors (831725208).

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

390765672 is a wasteful number, since it uses less digits than its factorization.

390765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29063 (or 29056 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 390765672 is about 19767.7938070995. The cubic root of 390765672 is about 731.0921738721.

The spelling of 390765672 in words is "three hundred ninety million, seven hundred sixty-five thousand, six hundred seventy-two".