3523620067968 has 2304 divisors, whose sum is σ = 14030065728000. Its totient is φ = 772987944960.

The previous prime is 3523620067889. The next prime is 3523620067969. The reversal of 3523620067968 is 8697600263253.

3523620067968 = T₁₂₆₁₉₂ + T₁₂₆₁₉₃ + ... + T₁₂₆₆₃₂.

It is not an unprimeable number, because it can be changed into a prime (3523620067969) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23648456758 + ... + 23648456906.

It is an arithmetic number, because the mean of its divisors is an integer number (6089438250).

Almost surely, 2^{3523620067968} 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 3523620067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015032864000).

3523620067968 is an abundant number, since it is smaller than the sum of its proper divisors (10506445660032).

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

3523620067968 is a wasteful number, since it uses less digits than its factorization.

3523620067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 3523620067968 in words is "three trillion, five hundred twenty-three billion, six hundred twenty million, sixty-seven thousand, nine hundred sixty-eight".