3559400488800 has 864 divisors, whose sum is σ = 13711383477792. Its totient is φ = 863626199040.

The previous prime is 3559400488759. The next prime is 3559400488811. The reversal of 3559400488800 is 88840049553.

3559400488800 is a `hidden beast` number, since 3 + 5 + 594 + 0 + 0 + 48 + 8 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2787313762 + ... + 2787315038.

It is an arithmetic number, because the mean of its divisors is an integer number (15869656803).

Almost surely, 2^{3559400488800} is an apocalyptic number.

3559400488800 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 3559400488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855691738896).

3559400488800 is an abundant number, since it is smaller than the sum of its proper divisors (10151982988992).

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

3559400488800 is a wasteful number, since it uses less digits than its factorization.

3559400488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 3559400488800 in words is "three trillion, five hundred fifty-nine billion, four hundred million, four hundred eighty-eight thousand, eight hundred".