38506864 has 40 divisors (see below), whose sum is σ = 82034928. Its totient is φ = 17364480.

The previous prime is 38506861. The next prime is 38506877. The reversal of 38506864 is 46860583.

It is a super-2 number, since 2×38506864² = 2965557150228992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38506861) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23314 + ... + 24910.

Almost surely, 2^38506864 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 38506864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41017464).

38506864 is an abundant number, since it is smaller than the sum of its proper divisors (43528064).

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

38506864 is a wasteful number, since it uses less digits than its factorization.

38506864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 38506864 is about 6205.3899152269. The cubic root of 38506864 is about 337.6857366307.

The spelling of 38506864 in words is "thirty-eight million, five hundred six thousand, eight hundred sixty-four".