34350901680 has 80 divisors (see below), whose sum is σ = 106661967840. Its totient is φ = 9145257984.

The previous prime is 34350901661. The next prime is 34350901727. The reversal of 34350901680 is 8610905343.

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

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, 30376 + ... + 263864.

It is an arithmetic number, because the mean of its divisors is an integer number (1333274598).

Almost surely, 2^34350901680 is an apocalyptic number.

34350901680 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 34350901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53330983920).

34350901680 is an abundant number, since it is smaller than the sum of its proper divisors (72311066160).

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

34350901680 is a wasteful number, since it uses less digits than its factorization.

34350901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234118 (or 234112 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 34350901680 in words is "thirty-four billion, three hundred fifty million, nine hundred one thousand, six hundred eighty".