38009664 has 168 divisors, whose sum is σ = 135989568. Its totient is φ = 9861120.

The previous prime is 38009641. The next prime is 38009669. The reversal of 38009664 is 46690083.

It is a tau number, because it is divible by the number of its divisors (168).

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 (38009669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43924 + ... + 44780.

Almost surely, 2^38009664 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 38009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67994784).

38009664 is an abundant number, since it is smaller than the sum of its proper divisors (97979904).

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

38009664 is a wasteful number, since it uses less digits than its factorization.

38009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38009664 is about 6165.1978070456. The cubic root of 38009664 is about 336.2260383786.

The spelling of 38009664 in words is "thirty-eight million, nine thousand, six hundred sixty-four".