3434914944 has 256 divisors, whose sum is σ = 10732032000. Its totient is φ = 1079350272.

The previous prime is 3434914939. The next prime is 3434914961. The reversal of 3434914944 is 4494194343.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3434914944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6279279 + ... + 6279825.

It is an arithmetic number, because the mean of its divisors is an integer number (41922000).

Almost surely, 2^3434914944 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 3434914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366016000).

3434914944 is an abundant number, since it is smaller than the sum of its proper divisors (7297117056).

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

3434914944 is a wasteful number, since it uses less digits than its factorization.

3434914944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 654 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3434914944 is about 58608.1474199620. The cubic root of 3434914944 is about 1508.8242743252.

The spelling of 3434914944 in words is "three billion, four hundred thirty-four million, nine hundred fourteen thousand, nine hundred forty-four".