34540179180 has 96 divisors (see below), whose sum is σ = 104326638528. Its totient is φ = 8487936000.

The previous prime is 34540179161. The next prime is 34540179203. The reversal of 34540179180 is 8197104543.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431940 + ... + 505620.

It is an arithmetic number, because the mean of its divisors is an integer number (1086735818).

Almost surely, 2^34540179180 is an apocalyptic number.

34540179180 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 34540179180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52163319264).

34540179180 is an abundant number, since it is smaller than the sum of its proper divisors (69786459348).

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

34540179180 is a wasteful number, since it uses less digits than its factorization.

34540179180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74307 (or 74305 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

It can be divided in two parts, 345401 and 79180, that added together give a triangular number (424581 = T₉₂₁).

The spelling of 34540179180 in words is "thirty-four billion, five hundred forty million, one hundred seventy-nine thousand, one hundred eighty".