3551804134560 has 1152 divisors, whose sum is σ = 14802873845760. Its totient is φ = 795142656000.

The previous prime is 3551804134513. The next prime is 3551804134633. The reversal of 3551804134560 is 654314081553.

3551804134560 is a `hidden beast` number, since 3 + 5 + 5 + 1 + 80 + 4 + 1 + 3 + 4 + 560 = 666.

It is a super-2 number, since 2×3551804134560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 285256335 + ... + 285268785.

It is an arithmetic number, because the mean of its divisors is an integer number (12849716880).

Almost surely, 2^{3551804134560} is an apocalyptic number.

3551804134560 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 3551804134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401436922880).

3551804134560 is an abundant number, since it is smaller than the sum of its proper divisors (11251069711200).

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

3551804134560 is a wasteful number, since it uses less digits than its factorization.

3551804134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544 (or 12524 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 3551804134560 in words is "three trillion, five hundred fifty-one billion, eight hundred four million, one hundred thirty-four thousand, five hundred sixty".