38909664 has 72 divisors (see below), whose sum is σ = 111449520. Its totient is φ = 12876288.

The previous prime is 38909659. The next prime is 38909669. The reversal of 38909664 is 46690983.

It is an interprime number because it is at equal distance from previous prime (38909659) and next prime (38909669).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38909669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47692 + ... + 48500.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^38909664 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 38909664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55724760).

38909664 is an abundant number, since it is smaller than the sum of its proper divisors (72539856).

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

38909664 is a wasteful number, since it uses less digits than its factorization.

38909664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 38909664 is about 6237.7611368182. The cubic root of 38909664 is about 338.8591055713.

The spelling of 38909664 in words is "thirty-eight million, nine hundred nine thousand, six hundred sixty-four".