38667664 has 120 divisors (see below), whose sum is σ = 94541568. Its totient is φ = 15240960.

The previous prime is 38667661. The next prime is 38667677. The reversal of 38667664 is 46676683.

It is not an unprimeable number, because it can be changed into a prime (38667661) 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, 899227 + ... + 899269.

Almost surely, 2^38667664 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 38667664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47270784).

38667664 is an abundant number, since it is smaller than the sum of its proper divisors (55873904).

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

38667664 is a wasteful number, since it uses less digits than its factorization.

38667664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 38667664 is about 6218.3328955597. The cubic root of 38667664 is about 338.1551287724.

The spelling of 38667664 in words is "thirty-eight million, six hundred sixty-seven thousand, six hundred sixty-four".