38945664 has 128 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 12695040.

The previous prime is 38945653. The next prime is 38945671. The reversal of 38945664 is 46654983.

38945664 is a `hidden beast` number, since 3 + 89 + 4 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203809 + ... + 203999.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^38945664 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 38945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

38945664 is an abundant number, since it is smaller than the sum of its proper divisors (78558336).

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

38945664 is a wasteful number, since it uses less digits than its factorization.

38945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 38945664 is about 6240.6461203949. The cubic root of 38945664 is about 338.9635797666.

The spelling of 38945664 in words is "thirty-eight million, nine hundred forty-five thousand, six hundred sixty-four".