3522962716416 has 576 divisors, whose sum is σ = 12304092487680. Its totient is φ = 980232192000.

The previous prime is 3522962716409. The next prime is 3522962716459. The reversal of 3522962716416 is 6146172692253.

It is a happy number.

3522962716416 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 9 + 627 + 1 + 6 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3522962716416² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188778126 + ... + 188796786.

It is an arithmetic number, because the mean of its divisors is an integer number (21361271680).

Almost surely, 2^{3522962716416} is an apocalyptic number.

3522962716416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3522962716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152046243840).

3522962716416 is an abundant number, since it is smaller than the sum of its proper divisors (8781129771264).

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

3522962716416 is a wasteful number, since it uses less digits than its factorization.

3522962716416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18901 (or 18881 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 3522962716416 in words is "three trillion, five hundred twenty-two billion, nine hundred sixty-two million, seven hundred sixteen thousand, four hundred sixteen".