38001664 has 88 divisors (see below), whose sum is σ = 84008880. Its totient is φ = 17104896.

The previous prime is 38001661. The next prime is 38001697. The reversal of 38001664 is 46610083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38001661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 644067 + ... + 644125.

Almost surely, 2^38001664 is an apocalyptic number.

38001664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42004440).

38001664 is an abundant number, since it is smaller than the sum of its proper divisors (46007216).

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

38001664 is a wasteful number, since it uses less digits than its factorization.

38001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 38001664 is about 6164.5489697138. The cubic root of 38001664 is about 336.2024479127.

The spelling of 38001664 in words is "thirty-eight million, one thousand, six hundred sixty-four".