3551991367680 has 960 divisors, whose sum is σ = 14798255472000. Its totient is φ = 798046027776.

The previous prime is 3551991367667. The next prime is 3551991367709. The reversal of 3551991367680 is 867631991553.

3551991367680 is a `hidden beast` number, since 3 + 5 + 5 + 199 + 1 + 367 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 342553536 + ... + 342563904.

It is an arithmetic number, because the mean of its divisors is an integer number (15414849450).

Almost surely, 2^{3551991367680} is an apocalyptic number.

3551991367680 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 3551991367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399127736000).

3551991367680 is an abundant number, since it is smaller than the sum of its proper divisors (11246264104320).

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

3551991367680 is a wasteful number, since it uses less digits than its factorization.

3551991367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10474 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 3551991367680 in words is "three trillion, five hundred fifty-one billion, nine hundred ninety-one million, three hundred sixty-seven thousand, six hundred eighty".