34118292312 has 128 divisors (see below), whose sum is σ = 102294360000. Its totient is φ = 10474168320.

The previous prime is 34118292293. The next prime is 34118292347. The reversal of 34118292312 is 21329281143.

34118292312 is a `hidden beast` number, since 3 + 41 + 18 + 292 + 312 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247262 + ... + 1274322.

Almost surely, 2^34118292312 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 34118292312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51147180000).

34118292312 is an abundant number, since it is smaller than the sum of its proper divisors (68176067688).

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

34118292312 is a wasteful number, since it uses less digits than its factorization.

34118292312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27538 (or 27528 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 34118292312 in words is "thirty-four billion, one hundred eighteen million, two hundred ninety-two thousand, three hundred twelve".