34144794 has 32 divisors (see below), whose sum is σ = 76440000. Its totient is φ = 11297232.

The previous prime is 34144753. The next prime is 34144813. The reversal of 34144794 is 49744143.

34144794 = 425² + 426² + ... + 563².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5232 + ... + 9780.

It is an arithmetic number, because the mean of its divisors is an integer number (2388750).

Almost surely, 2^34144794 is an apocalyptic number.

34144794 is an abundant number, since it is smaller than the sum of its proper divisors (42295206).

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

34144794 is a wasteful number, since it uses less digits than its factorization.

34144794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4693 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34144794 is about 5843.3546871639. The cubic root of 34144794 is about 324.4204076231.

The spelling of 34144794 in words is "thirty-four million, one hundred forty-four thousand, seven hundred ninety-four".