34131469824 has 320 divisors, whose sum is σ = 103448378880. Its totient is φ = 11108966400.

The previous prime is 34131469819. The next prime is 34131469843. The reversal of 34131469824 is 42896413143.

34131469824 is a `hidden beast` number, since 3 + 413 + 146 + 98 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34131469824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173256094 + ... + 173256290.

It is an arithmetic number, because the mean of its divisors is an integer number (323276184).

Almost surely, 2^34131469824 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 34131469824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51724189440).

34131469824 is an abundant number, since it is smaller than the sum of its proper divisors (69316909056).

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

34131469824 is a wasteful number, since it uses less digits than its factorization.

34131469824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 34131469824 in words is "thirty-four billion, one hundred thirty-one million, four hundred sixty-nine thousand, eight hundred twenty-four".