3505813916000 has 576 divisors, whose sum is σ = 10417001946624. Its totient is φ = 1147587584000.

The previous prime is 3505813915997. The next prime is 3505813916029. The reversal of 3505813916000 is 6193185053.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292462007 + ... + 292473993.

It is an arithmetic number, because the mean of its divisors is an integer number (18085072824).

Almost surely, 2^{3505813916000} 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 3505813916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208500973312).

3505813916000 is an abundant number, since it is smaller than the sum of its proper divisors (6911188030624).

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

3505813916000 is a wasteful number, since it uses less digits than its factorization.

3505813916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12080 (or 12045 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 3505813916000 in words is "three trillion, five hundred five billion, eight hundred thirteen million, nine hundred sixteen thousand".