34093916192 has 54 divisors (see below), whose sum is σ = 78097904703. Its totient is φ = 14608544832.

The previous prime is 34093916183. The next prime is 34093916201. The reversal of 34093916192 is 29161939043.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (34093916183) and next prime (34093916201).

It can be written as a sum of positive squares in only one way, i.e., 17046958096 + 17046958096 = 130564^2 + 130564^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=130564.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7309253 + ... + 7313915.

Almost surely, 2^34093916192 is an apocalyptic number.

34093916192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34093916192 is an abundant number, since it is smaller than the sum of its proper divisors (44003988511).

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

34093916192 is an frugal number, since it uses more digits than its factorization.

34093916192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 47.

The spelling of 34093916192 in words is "thirty-four billion, ninety-three million, nine hundred sixteen thousand, one hundred ninety-two".