34239497292 has 432 divisors, whose sum is σ = 123999011136. Its totient is φ = 7724851200.

The previous prime is 34239497221. The next prime is 34239497293. The reversal of 34239497292 is 29279493243.

34239497292 is a `hidden beast` number, since 34 + 2 + 39 + 497 + 2 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34239497293) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6736192 + ... + 6741272.

It is an arithmetic number, because the mean of its divisors is an integer number (287034748).

Almost surely, 2^34239497292 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 34239497292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61999505568).

34239497292 is an abundant number, since it is smaller than the sum of its proper divisors (89759513844).

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

34239497292 is a wasteful number, since it uses less digits than its factorization.

34239497292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5134 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 34239497292 in words is "thirty-four billion, two hundred thirty-nine million, four hundred ninety-seven thousand, two hundred ninety-two".