3504052952064 has 792 divisors, whose sum is σ = 12030743687040. Its totient is φ = 979189972992.

The previous prime is 3504052952047. The next prime is 3504052952161. The reversal of 3504052952064 is 4602592504053.

3504052952064 is a `hidden beast` number, since 3 + 5 + 0 + 40 + 5 + 29 + 520 + 64 = 666.

3504052952064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5415846589 + ... + 5415847235.

Almost surely, 2^{3504052952064} 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 3504052952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015371843520).

3504052952064 is an abundant number, since it is smaller than the sum of its proper divisors (8526690734976).

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

3504052952064 is a wasteful number, since it uses less digits than its factorization.

3504052952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 3504052952064 in words is "three trillion, five hundred four billion, fifty-two million, nine hundred fifty-two thousand, sixty-four".