34045024896 has 256 divisors, whose sum is σ = 103600828800. Its totient is φ = 10998374400.

The previous prime is 34045024877. The next prime is 34045024907. The reversal of 34045024896 is 69842054043.

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, 56646996 + ... + 56647596.

Almost surely, 2^34045024896 is an apocalyptic number.

34045024896 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 34045024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51800414400).

34045024896 is an abundant number, since it is smaller than the sum of its proper divisors (69555803904).

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

34045024896 is a wasteful number, since it uses less digits than its factorization.

34045024896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 34045024896 in words is "thirty-four billion, forty-five million, twenty-four thousand, eight hundred ninety-six".