38630368 has 96 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 15634944.

The previous prime is 38630357. The next prime is 38630387. The reversal of 38630368 is 86303683.

38630368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488953 + ... + 489031.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 2^38630368 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 38630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

38630368 is an abundant number, since it is smaller than the sum of its proper divisors (53299232).

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

38630368 is a wasteful number, since it uses less digits than its factorization.

38630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 38630368 is about 6215.3332975795. Note that the first 3 decimals coincide. The cubic root of 38630368 is about 338.0463738993.

The spelling of 38630368 in words is "thirty-eight million, six hundred thirty thousand, three hundred sixty-eight".