3551856998400 has 720 divisors, whose sum is σ = 13304516425200. Its totient is φ = 936422277120.

The previous prime is 3551856998363. The next prime is 3551856998401. The reversal of 3551856998400 is 48996581553.

3551856998400 is a `hidden beast` number, since 3 + 5 + 5 + 1 + 85 + 69 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3551856998401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 369095989 + ... + 369105611.

It is an arithmetic number, because the mean of its divisors is an integer number (18478495035).

Almost surely, 2^{3551856998400} is an apocalyptic number.

3551856998400 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 3551856998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652258212600).

3551856998400 is an abundant number, since it is smaller than the sum of its proper divisors (9752659426800).

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

3551856998400 is an equidigital number, since it uses as much as digits as its factorization.

3551856998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 3551856998400 in words is "three trillion, five hundred fifty-one billion, eight hundred fifty-six million, nine hundred ninety-eight thousand, four hundred".