38610368 has 56 divisors (see below), whose sum is σ = 80650080. Its totient is φ = 18314240.

The previous prime is 38610361. The next prime is 38610373. The reversal of 38610368 is 86301683.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38610361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131630 + ... + 131922.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 2^38610368 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 38610368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40325040).

38610368 is an abundant number, since it is smaller than the sum of its proper divisors (42039712).

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

38610368 is a wasteful number, since it uses less digits than its factorization.

38610368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 38610368 is about 6213.7241651042. The cubic root of 38610368 is about 337.9880252051.

The spelling of 38610368 in words is "thirty-eight million, six hundred ten thousand, three hundred sixty-eight".