34249432896 has 336 divisors, whose sum is σ = 117003015168. Its totient is φ = 9372672000.

The previous prime is 34249432859. The next prime is 34249432967. The reversal of 34249432896 is 69823494243.

34249432896 is a `hidden beast` number, since 3 + 42 + 494 + 3 + 28 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12622836 + ... + 12625548.

Almost surely, 2^34249432896 is an apocalyptic number.

34249432896 is a gapful number since it is divisible by the number (36) 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 34249432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58501507584).

34249432896 is an abundant number, since it is smaller than the sum of its proper divisors (82753582272).

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

34249432896 is a wasteful number, since it uses less digits than its factorization.

34249432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2857 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 34249432896 in words is "thirty-four billion, two hundred forty-nine million, four hundred thirty-two thousand, eight hundred ninety-six".