39225344 has 48 divisors (see below), whose sum is σ = 79606800. Its totient is φ = 19320832.

The previous prime is 39225337. The next prime is 39225349. The reversal of 39225344 is 44352293.

It is a super-2 number, since 2×39225344² = 3077255223836672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (25920) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 39225344.

It is not an unprimeable number, because it can be changed into a prime (39225349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219047 + ... + 219225.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 2^39225344 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 39225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39803400).

39225344 is an abundant number, since it is smaller than the sum of its proper divisors (40381456).

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

39225344 is a wasteful number, since it uses less digits than its factorization.

39225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 39225344 is about 6263.0139709249. The cubic root of 39225344 is about 339.7730434609.

The spelling of 39225344 in words is "thirty-nine million, two hundred twenty-five thousand, three hundred forty-four".