34483004416 has 99 divisors (see below), whose sum is σ = 80283436209. Its totient is φ = 14760603648.

The previous prime is 34483004401. The next prime is 34483004419. The reversal of 34483004416 is 61440038443.

The square root of 34483004416 is 185696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19851682816 + 14631321600 = 140896^2 + 120960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34483004419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41595490 + ... + 41596318.

Almost surely, 2^34483004416 is an apocalyptic number.

34483004416 is the 185696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34483004416

34483004416 is an abundant number, since it is smaller than the sum of its proper divisors (45800431793).

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

34483004416 is an frugal number, since it uses more digits than its factorization.

34483004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 34483004416 in words is "thirty-four billion, four hundred eighty-three million, four thousand, four hundred sixteen".