34818960000 has 640 divisors, whose sum is σ = 128287684800. Its totient is φ = 8363520000.

The previous prime is 34818959983. The next prime is 34818960097. The reversal of 34818960000 is 6981843.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 319439946 + ... + 319440054.

Almost surely, 2^34818960000 is an apocalyptic number.

34818960000 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 34818960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64143842400).

34818960000 is an abundant number, since it is smaller than the sum of its proper divisors (93468724800).

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

34818960000 is an equidigital number, since it uses as much as digits as its factorization.

34818960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 34818960000 in words is "thirty-four billion, eight hundred eighteen million, nine hundred sixty thousand".