34873684017180 has 96 divisors (see below), whose sum is σ = 99522995894784. Its totient is φ = 9121038561024.

The previous prime is 34873684017121. The next prime is 34873684017197. The reversal of 34873684017180 is 8171048637843.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent 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, 7342707 + ... + 11120373.

It is an arithmetic number, because the mean of its divisors is an integer number (1036697873904).

Almost surely, 2^{34873684017180} is an apocalyptic number.

34873684017180 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 34873684017180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49761497947392).

34873684017180 is an abundant number, since it is smaller than the sum of its proper divisors (64649311877604).

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

34873684017180 is a wasteful number, since it uses less digits than its factorization.

34873684017180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780635 (or 3780633 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 34873684017180 in words is "thirty-four trillion, eight hundred seventy-three billion, six hundred eighty-four million, seventeen thousand, one hundred eighty".