34117079040 has 832 divisors, whose sum is σ = 135878860800. Its totient is φ = 8051097600.

The previous prime is 34117079033. The next prime is 34117079083. The reversal of 34117079040 is 4097071143.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 34117078986 and 34117079004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431861721 + ... + 431861799.

Almost surely, 2^34117079040 is an apocalyptic number.

34117079040 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 34117079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67939430400).

34117079040 is an abundant number, since it is smaller than the sum of its proper divisors (101761781760).

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

34117079040 is a wasteful number, since it uses less digits than its factorization.

34117079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 34117079040 in words is "thirty-four billion, one hundred seventeen million, seventy-nine thousand, forty".