39225434112 has 224 divisors, whose sum is σ = 117354705600. Its totient is φ = 12947226624.

The previous prime is 39225434099. The next prime is 39225434119. The reversal of 39225434112 is 21143452293.

39225434112 is a `hidden beast` number, since 3 + 92 + 25 + 434 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (39225434119) 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 15 ways as a sum of consecutive naturals, for example, 24108243 + ... + 24109869.

Almost surely, 2^39225434112 is an apocalyptic number.

39225434112 is a gapful number since it is divisible by the number (32) 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 39225434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58677352800).

39225434112 is an abundant number, since it is smaller than the sum of its proper divisors (78129271488).

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

39225434112 is a wasteful number, since it uses less digits than its factorization.

39225434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1741 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 39225434112 in words is "thirty-nine billion, two hundred twenty-five million, four hundred thirty-four thousand, one hundred twelve".