368728624 has 60 divisors (see below), whose sum is σ = 789208168. Its totient is φ = 166763520.

The previous prime is 368728609. The next prime is 368728627. The reversal of 368728624 is 426827863.

368728624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×368728624³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (368728627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547552 + ... + 548224.

Almost surely, 2^368728624 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 368728624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394604084).

368728624 is an abundant number, since it is smaller than the sum of its proper divisors (420479544).

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

368728624 is a wasteful number, since it uses less digits than its factorization.

368728624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 969 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The square root of 368728624 is about 19202.3077779729. The cubic root of 368728624 is about 717.0822143380.

The spelling of 368728624 in words is "three hundred sixty-eight million, seven hundred twenty-eight thousand, six hundred twenty-four".