39225809700 has 864 divisors, whose sum is σ = 166735994880. Its totient is φ = 7472736000.

The previous prime is 39225809687. The next prime is 39225809729. The reversal of 39225809700 is 790852293.

39225809700 is a `hidden beast` number, since 392 + 258 + 0 + 9 + 7 + 0 + 0 = 666.

It is a super-2 number, since 2×39225809700² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1265348685 + ... + 1265348715.

Almost surely, 2^39225809700 is an apocalyptic number.

39225809700 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 39225809700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83367997440).

39225809700 is an abundant number, since it is smaller than the sum of its proper divisors (127510185180).

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

39225809700 is a wasteful number, since it uses less digits than its factorization.

39225809700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 39225809700 in words is "thirty-nine billion, two hundred twenty-five million, eight hundred nine thousand, seven hundred".