38873067264 has 144 divisors (see below), whose sum is σ = 116341209600. Its totient is φ = 12801383424.

The previous prime is 38873067251. The next prime is 38873067269. The reversal of 38873067264 is 46276037883.

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

It is a super-2 number, since 2×38873067264² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 38873067264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38873067269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539817 + ... + 607575.

Almost surely, 2^38873067264 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 38873067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58170604800).

38873067264 is an abundant number, since it is smaller than the sum of its proper divisors (77468142336).

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

38873067264 is an equidigital number, since it uses as much as digits as its factorization.

38873067264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67867 (or 67847 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 38873067264 in words is "thirty-eight billion, eight hundred seventy-three million, sixty-seven thousand, two hundred sixty-four".