307630368 has 144 divisors (see below), whose sum is σ = 975330720. Its totient is φ = 91404288.

The previous prime is 307630357. The next prime is 307630399. The reversal of 307630368 is 863036703.

307630368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91371 + ... + 94677.

It is an arithmetic number, because the mean of its divisors is an integer number (6773130).

Almost surely, 2^307630368 is an apocalyptic number.

307630368 is a gapful number since it is divisible by the number (38) 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 307630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487665360).

307630368 is an abundant number, since it is smaller than the sum of its proper divisors (667700352).

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

307630368 is a wasteful number, since it uses less digits than its factorization.

307630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 307630368 is about 17539.3947444032. The cubic root of 307630368 is about 675.0610776008.

The spelling of 307630368 in words is "three hundred seven million, six hundred thirty thousand, three hundred sixty-eight".