34358490960 has 80 divisors (see below), whose sum is σ = 106728615360. Its totient is φ = 9143572480.

The previous prime is 34358490941. The next prime is 34358490997. The reversal of 34358490960 is 6909485343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27945 + ... + 263624.

It is an arithmetic number, because the mean of its divisors is an integer number (1334107692).

Almost surely, 2^34358490960 is an apocalyptic number.

34358490960 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 34358490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53364307680).

34358490960 is an abundant number, since it is smaller than the sum of its proper divisors (72370124400).

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

34358490960 is a wasteful number, since it uses less digits than its factorization.

34358490960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292076 (or 292070 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 34358490960 in words is "thirty-four billion, three hundred fifty-eight million, four hundred ninety thousand, nine hundred sixty".