34826370048 has 132 divisors (see below), whose sum is σ = 104028785640. Its totient is φ = 11208400896.

The previous prime is 34826370011. The next prime is 34826370053. The reversal of 34826370048 is 84007362843.

34826370048 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 637 + 0 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34826369985 and 34826370012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202111 + ... + 332417.

Almost surely, 2^34826370048 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 34826370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52014392820).

34826370048 is an abundant number, since it is smaller than the sum of its proper divisors (69202415592).

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

34826370048 is a wasteful number, since it uses less digits than its factorization.

34826370048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130362 (or 130341 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34826370048 in words is "thirty-four billion, eight hundred twenty-six million, three hundred seventy thousand, forty-eight".