34930050048 has 132 divisors (see below), whose sum is σ = 104114153728. Its totient is φ = 11267665920.

The previous prime is 34930050019. The next prime is 34930050061. The reversal of 34930050048 is 84005003943.

34930050048 is a `hidden beast` number, since 349 + 300 + 5 + 0 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34930049994 and 34930050021.

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, 224565 + ... + 346827.

Almost surely, 2^34930050048 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 34930050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52057076864).

34930050048 is an abundant number, since it is smaller than the sum of its proper divisors (69184103680).

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

34930050048 is a wasteful number, since it uses less digits than its factorization.

34930050048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122320 (or 122299 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34930050048 in words is "thirty-four billion, nine hundred thirty million, fifty thousand, forty-eight".