34814333440 has 80 divisors (see below), whose sum is σ = 83591187768. Its totient is φ = 13905985536.

The previous prime is 34814333429. The next prime is 34814333537. The reversal of 34814333440 is 4433341843.

It can be written as a sum of positive squares in 4 ways, for example, as 29347801344 + 5466532096 = 171312^2 + 73936^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 34814333440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1867204 + ... + 1885756.

Almost surely, 2^34814333440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34814333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41795593884).

34814333440 is an abundant number, since it is smaller than the sum of its proper divisors (48776854328).

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

34814333440 is an equidigital number, since it uses as much as digits as its factorization.

34814333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19309 (or 19293 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 34814333440 in words is "thirty-four billion, eight hundred fourteen million, three hundred thirty-three thousand, four hundred forty".