3557980090368 has 624 divisors, whose sum is σ = 11942506308096. Its totient is φ = 1048916459520.

The previous prime is 3557980090337. The next prime is 3557980090417. The reversal of 3557980090368 is 8630900897553.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405094105 + ... + 405102887.

It is an arithmetic number, because the mean of its divisors is an integer number (19138631904).

Almost surely, 2^{3557980090368} 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 3557980090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971253154048).

3557980090368 is an abundant number, since it is smaller than the sum of its proper divisors (8384526217728).

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

3557980090368 is an equidigital number, since it uses as much as digits as its factorization.

3557980090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 3557980090368 in words is "three trillion, five hundred fifty-seven billion, nine hundred eighty million, ninety thousand, three hundred sixty-eight".