34420638784 has 63 divisors (see below), whose sum is σ = 79479029637. Its totient is φ = 14747249664.

The previous prime is 34420638779. The next prime is 34420638821. The reversal of 34420638784 is 48783602443.

The square root of 34420638784 is 185528.

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., 31812289600 + 2608349184 = 178360^2 + 51072^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10387912 + ... + 10391224.

It is an arithmetic number, because the mean of its divisors is an integer number (1261571899).

Almost surely, 2^34420638784 is an apocalyptic number.

34420638784 is the 185528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34420638784

34420638784 is an abundant number, since it is smaller than the sum of its proper divisors (45058390853).

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

34420638784 is an frugal number, since it uses more digits than its factorization.

34420638784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

Multiplying 34420638784 by its sum of digits (49), we get a square (1686611300416 = 1298696²).

34420638784 divided by its sum of digits (49) gives a square (702462016 = 26504²).

The spelling of 34420638784 in words is "thirty-four billion, four hundred twenty million, six hundred thirty-eight thousand, seven hundred eighty-four".