3551649914880 has 1792 divisors, whose sum is σ = 13931264390400. Its totient is φ = 856141332480.

The previous prime is 3551649914873. The next prime is 3551649914951. The reversal of 3551649914880 is 884199461553.

3551649914880 is a `hidden beast` number, since 3 + 5 + 5 + 1 + 64 + 9 + 91 + 488 + 0 = 666.

It is a super-2 number, since 2×3551649914880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48652738524 + ... + 48652738596.

It is an arithmetic number, because the mean of its divisors is an integer number (7774143075).

Almost surely, 2^{3551649914880} is an apocalyptic number.

3551649914880 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 3551649914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965632195200).

3551649914880 is an abundant number, since it is smaller than the sum of its proper divisors (10379614475520).

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

3551649914880 is a wasteful number, since it uses less digits than its factorization.

3551649914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 3551649914880 in words is "three trillion, five hundred fifty-one billion, six hundred forty-nine million, nine hundred fourteen thousand, eight hundred eighty".