38763564 has 48 divisors (see below), whose sum is σ = 105331968. Its totient is φ = 10865088.

The previous prime is 38763563. The next prime is 38763581. The reversal of 38763564 is 46536783.

It is a super-2 number, since 2×38763564² = 3005227787964192, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38763563) 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, 99 + ... + 8805.

It is an arithmetic number, because the mean of its divisors is an integer number (2194416).

Almost surely, 2^38763564 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 38763564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52665984).

38763564 is an abundant number, since it is smaller than the sum of its proper divisors (66568404).

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

38763564 is a wasteful number, since it uses less digits than its factorization.

38763564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774 (or 8772 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 38763564 is about 6226.0391903681. The cubic root of 38763564 is about 338.4344517792.

The spelling of 38763564 in words is "thirty-eight million, seven hundred sixty-three thousand, five hundred sixty-four".