39129430572 has 72 divisors (see below), whose sum is σ = 101693592000. Its totient is φ = 12679872768.

The previous prime is 39129430541. The next prime is 39129430577. The reversal of 39129430572 is 27503492193.

39129430572 is a `hidden beast` number, since 39 + 1 + 2 + 9 + 43 + 0 + 572 = 666.

It is a super-2 number, since 2×39129430572² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (39129430577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174504 + ... + 329712.

It is an arithmetic number, because the mean of its divisors is an integer number (1412411000).

Almost surely, 2^39129430572 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 39129430572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50846796000).

39129430572 is an abundant number, since it is smaller than the sum of its proper divisors (62564161428).

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

39129430572 is a wasteful number, since it uses less digits than its factorization.

39129430572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155415 (or 155410 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 39129430572 in words is "thirty-nine billion, one hundred twenty-nine million, four hundred thirty thousand, five hundred seventy-two".