390872736 has 96 divisors (see below), whose sum is σ = 1170953280. Its totient is φ = 126759168.

The previous prime is 390872663. The next prime is 390872737. The reversal of 390872736 is 637278093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 390872691 and 390872700.

It is not an unprimeable number, because it can be changed into a prime (390872737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25855 + ... + 38081.

It is an arithmetic number, because the mean of its divisors is an integer number (12197430).

Almost surely, 2^390872736 is an apocalyptic number.

390872736 is a gapful number since it is divisible by the number (36) 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 390872736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585476640).

390872736 is an abundant number, since it is smaller than the sum of its proper divisors (780080544).

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

390872736 is a wasteful number, since it uses less digits than its factorization.

390872736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12283 (or 12269 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 390872736 is about 19770.5016628309. The cubic root of 390872736 is about 731.1589372469.

The spelling of 390872736 in words is "three hundred ninety million, eight hundred seventy-two thousand, seven hundred thirty-six".