34133488048 has 80 divisors (see below), whose sum is σ = 74541729024. Its totient is φ = 15005018880.

The previous prime is 34133488019. The next prime is 34133488073. The reversal of 34133488048 is 84088433143.

It is a junction number, because it is equal to n+sod(n) for n = 34133487989 and 34133488007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071811 + ... + 1103197.

Almost surely, 2^34133488048 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 34133488048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37270864512).

34133488048 is an abundant number, since it is smaller than the sum of its proper divisors (40408240976).

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

34133488048 is a wasteful number, since it uses less digits than its factorization.

34133488048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31610 (or 31604 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 34133488048 in words is "thirty-four billion, one hundred thirty-three million, four hundred eighty-eight thousand, forty-eight".