39225120 has 384 divisors, whose sum is σ = 156764160. Its totient is φ = 8110080.

The previous prime is 39225091. The next prime is 39225191. The reversal of 39225120 is 2152293.

It is a super-2 number, since 2×39225120² = 3077220078028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1705429 + ... + 1705451.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^39225120 is an apocalyptic number.

39225120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

39225120 is an abundant number, since it is smaller than the sum of its proper divisors (117539040).

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

39225120 is a wasteful number, since it uses less digits than its factorization.

39225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 39225120 is about 6262.9960881355. The cubic root of 39225120 is about 339.7723966911.

The spelling of 39225120 in words is "thirty-nine million, two hundred twenty-five thousand, one hundred twenty".