34513273920 has 112 divisors (see below), whose sum is σ = 109635755328. Its totient is φ = 9198827520.

The previous prime is 34513273913. The next prime is 34513273931. The reversal of 34513273920 is 2937231543.

It is a super-3 number, since 3×34513273920³ (a number of 33 digits) contains 333 as substring.

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, 2124067 + ... + 2140253.

Almost surely, 2^34513273920 is an apocalyptic number.

34513273920 is a gapful number since it is divisible by the number (30) 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 34513273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54817877664).

34513273920 is an abundant number, since it is smaller than the sum of its proper divisors (75122481408).

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

34513273920 is a wasteful number, since it uses less digits than its factorization.

34513273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18428 (or 18418 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 34513273920 in words is "thirty-four billion, five hundred thirteen million, two hundred seventy-three thousand, nine hundred twenty".