34874878080 has 256 divisors, whose sum is σ = 128236815360. Its totient is φ = 7896576000.

The previous prime is 34874878069. The next prime is 34874878117. The reversal of 34874878080 is 8087847843.

It is a self number, because there is not a number n which added to its sum of digits gives 34874878080.

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 31 ways as a sum of consecutive naturals, for example, 1425955 + ... + 1450205.

It is an arithmetic number, because the mean of its divisors is an integer number (500925060).

Almost surely, 2^34874878080 is an apocalyptic number.

34874878080 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 34874878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64118407680).

34874878080 is an abundant number, since it is smaller than the sum of its proper divisors (93361937280).

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

34874878080 is a wasteful number, since it uses less digits than its factorization.

34874878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24387 (or 24375 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 57.

The spelling of 34874878080 in words is "thirty-four billion, eight hundred seventy-four million, eight hundred seventy-eight thousand, eighty".