38405664 has 144 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 11612160.

The previous prime is 38405651. The next prime is 38405671. The reversal of 38405664 is 46650483.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85312 + ... + 85760.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^38405664 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 38405664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

38405664 is an abundant number, since it is smaller than the sum of its proper divisors (85427136).

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

38405664 is a wasteful number, since it uses less digits than its factorization.

38405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 38405664 is about 6197.2303491156. The cubic root of 38405664 is about 337.3896528143.

The spelling of 38405664 in words is "thirty-eight million, four hundred five thousand, six hundred sixty-four".