38647625 has 16 divisors (see below), whose sum is σ = 49415184. Its totient is φ = 30160000.

The previous prime is 38647619. The next prime is 38647667. The reversal of 38647625 is 52674683.

38647625 = 262² + 263² + ... + 511².

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30958096 + 7689529 = 5564^2 + 2773^2 .

It is not a de Polignac number, because 38647625 - 2⁶ = 38647561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1355 + ... + 8895.

It is an arithmetic number, because the mean of its divisors is an integer number (3088449).

Almost surely, 2^38647625 is an apocalyptic number.

It is an amenable number.

38647625 is a deficient number, since it is larger than the sum of its proper divisors (10767559).

38647625 is an equidigital number, since it uses as much as digits as its factorization.

38647625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7597 (or 7587 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 38647625 is about 6216.7214027975. The cubic root of 38647625 is about 338.0967038868.

The spelling of 38647625 in words is "thirty-eight million, six hundred forty-seven thousand, six hundred twenty-five".