3522941436960 has 480 divisors, whose sum is σ = 14000868693504. Its totient is φ = 826495488000.

The previous prime is 3522941436881. The next prime is 3522941437007. The reversal of 3522941436960 is 696341492253.

3522941436960 is a `hidden beast` number, since 35 + 2 + 2 + 94 + 1 + 436 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3522941436960² (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 junction number, because it is equal to n+sod(n) for n = 3522941436897 and 3522941436906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4020780 + ... + 4817940.

Almost surely, 2^{3522941436960} is an apocalyptic number.

3522941436960 is a gapful number since it is divisible by the number (30) 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 3522941436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000434346752).

3522941436960 is an abundant number, since it is smaller than the sum of its proper divisors (10477927256544).

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

3522941436960 is a wasteful number, since it uses less digits than its factorization.

3522941436960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797230 (or 797213 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3522941436960 in words is "three trillion, five hundred twenty-two billion, nine hundred forty-one million, four hundred thirty-six thousand, nine hundred sixty".