38643864 has 128 divisors (see below), whose sum is σ = 117642240. Its totient is φ = 10340352.

The previous prime is 38643859. The next prime is 38643881. The reversal of 38643864 is 46834683.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282004 + ... + 282140.

It is an arithmetic number, because the mean of its divisors is an integer number (919080).

Almost surely, 2^38643864 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 38643864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58821120).

38643864 is an abundant number, since it is smaller than the sum of its proper divisors (78998376).

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

38643864 is a wasteful number, since it uses less digits than its factorization.

38643864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 38643864 is about 6216.4189048036. The cubic root of 38643864 is about 338.0857362189.

The spelling of 38643864 in words is "thirty-eight million, six hundred forty-three thousand, eight hundred sixty-four".