3552319991808 has 1040 divisors, whose sum is σ = 12842515040256. Its totient is φ = 956470394880.

The previous prime is 3552319991807. The next prime is 3552319991813. The reversal of 3552319991808 is 8081999132553.

3552319991808 is a `hidden beast` number, since 3 + 5 + 52 + 319 + 99 + 180 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3552319991807) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3899362873 + ... + 3899363783.

Almost surely, 2^{3552319991808} 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 3552319991808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421257520128).

3552319991808 is an abundant number, since it is smaller than the sum of its proper divisors (9290195048448).

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

3552319991808 is an equidigital number, since it uses as much as digits as its factorization.

3552319991808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 3552319991808 in words is "three trillion, five hundred fifty-two billion, three hundred nineteen million, nine hundred ninety-one thousand, eight hundred eight".