38964864 has 64 divisors (see below), whose sum is σ = 107100000. Its totient is φ = 12536832.

The previous prime is 38964859. The next prime is 38964869. The reversal of 38964864 is 46846983.

It is an interprime number because it is at equal distance from previous prime (38964859) and next prime (38964869).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (38964869) 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, 9387 + ... + 12885.

Almost surely, 2^38964864 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 38964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53550000).

38964864 is an abundant number, since it is smaller than the sum of its proper divisors (68135136).

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

38964864 is a wasteful number, since it uses less digits than its factorization.

38964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3533 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 38964864 is about 6242.1842331030. The cubic root of 38964864 is about 339.0192730143.

The spelling of 38964864 in words is "thirty-eight million, nine hundred sixty-four thousand, eight hundred sixty-four".