38261664 has 72 divisors (see below), whose sum is σ = 124356960. Its totient is φ = 10931328.

The previous prime is 38261653. The next prime is 38261681. The reversal of 38261664 is 46616283.

38261664 is a `hidden beast` number, since 38 + 2 + 616 + 6 + 4 = 666.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7474 + ... + 11505.

It is an arithmetic number, because the mean of its divisors is an integer number (1727180).

Almost surely, 2^38261664 is an apocalyptic number.

It is an amenable number.

38261664 is an abundant number, since it is smaller than the sum of its proper divisors (86095296).

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

38261664 is a wasteful number, since it uses less digits than its factorization.

38261664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19002 (or 18991 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38261664 is about 6185.6013450593. The cubic root of 38261664 is about 336.9674498289.

The spelling of 38261664 in words is "thirty-eight million, two hundred sixty-one thousand, six hundred sixty-four".