34133000000 has 392 divisors, whose sum is σ = 96439390560. Its totient is φ = 11872000000.

The previous prime is 34132999991. The next prime is 34133000059. The reversal of 34133000000 is 33143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 318999947 + ... + 319000053.

Almost surely, 2^34133000000 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 34133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48219695280).

34133000000 is an abundant number, since it is smaller than the sum of its proper divisors (62306390560).

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

34133000000 is an equidigital number, since it uses as much as digits as its factorization.

34133000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 34133000000 its reverse (33143), we get a palindrome (34133033143).

The spelling of 34133000000 in words is "thirty-four billion, one hundred thirty-three million", and thus it is an aban number.