34904459004096 has 448 divisors, whose sum is σ = 105863967982080. Its totient is φ = 10051643965440.

The previous prime is 34904459004089. The next prime is 34904459004101. The reversal of 34904459004096 is 69040095440943.

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, 6372912910 + ... + 6372918386.

It is an arithmetic number, because the mean of its divisors is an integer number (236303499960).

Almost surely, 2^{34904459004096} 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 34904459004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52931983991040).

34904459004096 is an abundant number, since it is smaller than the sum of its proper divisors (70959508977984).

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

34904459004096 is a wasteful number, since it uses less digits than its factorization.

34904459004096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 34904459004096 in words is "thirty-four trillion, nine hundred four billion, four hundred fifty-nine million, four thousand, ninety-six".