3508753112064 has 132 divisors (see below), whose sum is σ = 10171819508760. Its totient is φ = 1164923904000.

The previous prime is 3508753112063. The next prime is 3508753112087. The reversal of 3508753112064 is 4602113578053.

It is a happy number.

3508753112064 is a `hidden beast` number, since 3 + 50 + 8 + 7 + 531 + 1 + 2 + 0 + 64 = 666.

It is a super-2 number, since 2×3508753112064² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3508753112063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1554802 + ... + 3071630.

Almost surely, 2^{3508753112064} 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 3508753112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085909754380).

3508753112064 is an abundant number, since it is smaller than the sum of its proper divisors (6663066396696).

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

3508753112064 is a wasteful number, since it uses less digits than its factorization.

3508753112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517106 (or 1517085 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3508753112064 in words is "three trillion, five hundred eight billion, seven hundred fifty-three million, one hundred twelve thousand, sixty-four".