3528295142664 has 256 divisors, whose sum is σ = 9308506521600. Its totient is φ = 1113061017600.

The previous prime is 3528295142657. The next prime is 3528295142689. The reversal of 3528295142664 is 4662415928253.

It is a super-2 number, since 2×3528295142664² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5403208162 + ... + 5403208814.

It is an arithmetic number, because the mean of its divisors is an integer number (36361353600).

Almost surely, 2^{3528295142664} 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 3528295142664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654253260800).

3528295142664 is an abundant number, since it is smaller than the sum of its proper divisors (5780211378936).

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

3528295142664 is a wasteful number, since it uses less digits than its factorization.

3528295142664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1432 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 57.

The spelling of 3528295142664 in words is "three trillion, five hundred twenty-eight billion, two hundred ninety-five million, one hundred forty-two thousand, six hundred sixty-four".