3522172340064 has 192 divisors, whose sum is σ = 10777575191040. Its totient is φ = 986275430400.

The previous prime is 3522172340053. The next prime is 3522172340069. The reversal of 3522172340064 is 4600432712253.

It is a super-2 number, since 2×3522172340064² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3522172340069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33034039 + ... + 33140489.

It is an arithmetic number, because the mean of its divisors is an integer number (56133204120).

Almost surely, 2^{3522172340064} 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 3522172340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388787595520).

3522172340064 is an abundant number, since it is smaller than the sum of its proper divisors (7255402850976).

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

3522172340064 is a wasteful number, since it uses less digits than its factorization.

3522172340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107453 (or 107445 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 3522172340064 in words is "three trillion, five hundred twenty-two billion, one hundred seventy-two million, three hundred forty thousand, sixty-four".