34190048256 has 704 divisors, whose sum is σ = 121711672320. Its totient is φ = 8281128960.

The previous prime is 34190048231. The next prime is 34190048261. The reversal of 34190048256 is 65284009143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217770930 + ... + 217771086.

Almost surely, 2^34190048256 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 34190048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60855836160).

34190048256 is an abundant number, since it is smaller than the sum of its proper divisors (87521624064).

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

34190048256 is a wasteful number, since it uses less digits than its factorization.

34190048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 34190048256 in words is "thirty-four billion, one hundred ninety million, forty-eight thousand, two hundred fifty-six".