34190828160 has 128 divisors (see below), whose sum is σ = 110518680960. Its totient is φ = 8989102080.

The previous prime is 34190828141. The next prime is 34190828167. The reversal of 34190828160 is 6182809143.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (34190828167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10914 + ... + 261726.

It is an arithmetic number, because the mean of its divisors is an integer number (863427195).

Almost surely, 2^34190828160 is an apocalyptic number.

34190828160 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 34190828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55259340480).

34190828160 is an abundant number, since it is smaller than the sum of its proper divisors (76327852800).

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

34190828160 is a wasteful number, since it uses less digits than its factorization.

34190828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250906 (or 250894 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 34190828160 in words is "thirty-four billion, one hundred ninety million, eight hundred twenty-eight thousand, one hundred sixty".