3434953760 has 384 divisors, whose sum is σ = 10404495360. Its totient is φ = 1045094400.

The previous prime is 3434953757. The next prime is 3434953771. The reversal of 3434953760 is 673594343.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27046817 + ... + 27046943.

It is an arithmetic number, because the mean of its divisors is an integer number (27095040).

Almost surely, 2^3434953760 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 3434953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202247680).

3434953760 is an abundant number, since it is smaller than the sum of its proper divisors (6969541600).

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

3434953760 is a wasteful number, since it uses less digits than its factorization.

3434953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 44.

The square root of 3434953760 is about 58608.4785675247. The cubic root of 3434953760 is about 1508.8299577558.

The spelling of 3434953760 in words is "three billion, four hundred thirty-four million, nine hundred fifty-three thousand, seven hundred sixty".