38601825 has 48 divisors (see below), whose sum is σ = 68090880. Its totient is φ = 19241280.

The previous prime is 38601811. The next prime is 38601833. The reversal of 38601825 is 52810683.

It is a happy number.

It is not a de Polignac number, because 38601825 - 2⁵ = 38601793 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146644 + ... + 146906.

It is an arithmetic number, because the mean of its divisors is an integer number (1418560).

Almost surely, 2^38601825 is an apocalyptic number.

It is an amenable number.

38601825 is a deficient number, since it is larger than the sum of its proper divisors (29489055).

38601825 is a wasteful number, since it uses less digits than its factorization.

38601825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 38601825 is about 6213.0366971393. The cubic root of 38601825 is about 337.9630954187.

The spelling of 38601825 in words is "thirty-eight million, six hundred one thousand, eight hundred twenty-five".