38201625 has 160 divisors (see below), whose sum is σ = 90604800. Its totient is φ = 15876000.

The previous prime is 38201599. The next prime is 38201659. The reversal of 38201625 is 52610283.

38201625 is a `hidden beast` number, since 38 + 2 + 0 + 1 + 625 = 666.

It is not a de Polignac number, because 38201625 - 2⁵ = 38201593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3472870 + ... + 3472880.

It is an arithmetic number, because the mean of its divisors is an integer number (566280).

Almost surely, 2^38201625 is an apocalyptic number.

38201625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38201625 is an abundant number, since it is smaller than the sum of its proper divisors (52403175).

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

38201625 is an equidigital number, since it uses as much as digits as its factorization.

38201625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38201625 is about 6180.7463141598. The cubic root of 38201625 is about 336.7911046496.

It can be divided in two parts, 3820 and 1625, that added together give a palindrome (5445).

The spelling of 38201625 in words is "thirty-eight million, two hundred one thousand, six hundred twenty-five".