34331642944 has 189 divisors, whose sum is σ = 76608185493. Its totient is φ = 15261801984.

The previous prime is 34331642879. The next prime is 34331642951. The reversal of 34331642944 is 44924613343.

The square root of 34331642944 is 185288.

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., 24749582400 + 9582060544 = 157320^2 + 97888^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34331642944.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 647766822 + ... + 647766874.

Almost surely, 2^34331642944 is an apocalyptic number.

34331642944 is the 185288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34331642944

34331642944 is an abundant number, since it is smaller than the sum of its proper divisors (42276542549).

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

34331642944 is an equidigital number, since it uses as much as digits as its factorization.

34331642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 97 counting only the distinct ones).

The product of its digits is 746496, while the sum is 43.

The spelling of 34331642944 in words is "thirty-four billion, three hundred thirty-one million, six hundred forty-two thousand, nine hundred forty-four".