38513664 has 176 divisors, whose sum is σ = 131008000. Its totient is φ = 10948608.

The previous prime is 38513663. The next prime is 38513689. The reversal of 38513664 is 46631583.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38513663) 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, 193437 + ... + 193635.

Almost surely, 2^38513664 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 38513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65504000).

38513664 is an abundant number, since it is smaller than the sum of its proper divisors (92494336).

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

38513664 is a wasteful number, since it uses less digits than its factorization.

38513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 38513664 is about 6205.9378018153. The cubic root of 38513664 is about 337.7056129819.

The spelling of 38513664 in words is "thirty-eight million, five hundred thirteen thousand, six hundred sixty-four".