38001625 has 8 divisors (see below), whose sum is σ = 47426184. Its totient is φ = 30401200.

The previous prime is 38001611. The next prime is 38001631. The reversal of 38001625 is 52610083.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6056521 + 31945104 = 2461^2 + 5652^2 .

It is not a de Polignac number, because 38001625 - 2¹³ = 37993433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38001625.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151882 + ... + 152131.

It is an arithmetic number, because the mean of its divisors is an integer number (5928273).

Almost surely, 2^38001625 is an apocalyptic number.

It is an amenable number.

38001625 is a deficient number, since it is larger than the sum of its proper divisors (9424559).

38001625 is an equidigital number, since it uses as much as digits as its factorization.

38001625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304028 (or 304018 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 38001625 is about 6164.5458064646. The cubic root of 38001625 is about 336.2023329011.

The spelling of 38001625 in words is "thirty-eight million, one thousand, six hundred twenty-five".