3509429430624 has 192 divisors, whose sum is σ = 10404796114944. Its totient is φ = 1027630872576.

The previous prime is 3509429430607. The next prime is 3509429430649. The reversal of 3509429430624 is 4260349249053.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5344377 + ... + 5964999.

It is an arithmetic number, because the mean of its divisors is an integer number (54191646432).

Almost surely, 2^{3509429430624} 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 3509429430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202398057472).

3509429430624 is an abundant number, since it is smaller than the sum of its proper divisors (6895366684320).

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

3509429430624 is a wasteful number, since it uses less digits than its factorization.

3509429430624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620869 (or 620861 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 3509429430624 in words is "three trillion, five hundred nine billion, four hundred twenty-nine million, four hundred thirty thousand, six hundred twenty-four".