34345393992 has 192 divisors, whose sum is σ = 116822160000. Its totient is φ = 9058041216.

The previous prime is 34345393987. The next prime is 34345394003. The reversal of 34345393992 is 29939354343.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267559 + ... + 374537.

It is an arithmetic number, because the mean of its divisors is an integer number (608448750).

Almost surely, 2^34345393992 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 34345393992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58411080000).

34345393992 is an abundant number, since it is smaller than the sum of its proper divisors (82476766008).

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

34345393992 is a wasteful number, since it uses less digits than its factorization.

34345393992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107025 (or 107004 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 54.

The spelling of 34345393992 in words is "thirty-four billion, three hundred forty-five million, three hundred ninety-three thousand, nine hundred ninety-two".