3505578250328 has 384 divisors, whose sum is σ = 8781312384000. Its totient is φ = 1295580948480.

The previous prime is 3505578250319. The next prime is 3505578250331. The reversal of 3505578250328 is 8230528755053.

It is a self number, because there is not a number n which added to its sum of digits gives 3505578250328.

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, 2301757775 + ... + 2301759297.

It is an arithmetic number, because the mean of its divisors is an integer number (22868001000).

Almost surely, 2^{3505578250328} 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 3505578250328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390656192000).

3505578250328 is an abundant number, since it is smaller than the sum of its proper divisors (5275734133672).

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

3505578250328 is a wasteful number, since it uses less digits than its factorization.

3505578250328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 53.

The spelling of 3505578250328 in words is "three trillion, five hundred five billion, five hundred seventy-eight million, two hundred fifty thousand, three hundred twenty-eight".