34130309255392 has 96 divisors (see below), whose sum is σ = 78099683639040. Its totient is φ = 14378451747840.

The previous prime is 34130309255369. The next prime is 34130309255401. The reversal of 34130309255392 is 29355290303143.

It is a congruent number.

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, 236243083 + ... + 236387509.

It is an arithmetic number, because the mean of its divisors is an integer number (813538371240).

Almost surely, 2^{34130309255392} is an apocalyptic number.

34130309255392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130309255392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39049841819520).

34130309255392 is an abundant number, since it is smaller than the sum of its proper divisors (43969374383648).

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

34130309255392 is a wasteful number, since it uses less digits than its factorization.

34130309255392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162384 (or 162376 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 49.

The spelling of 34130309255392 in words is "thirty-four trillion, one hundred thirty billion, three hundred nine million, two hundred fifty-five thousand, three hundred ninety-two".