3355377984001 has 8 divisors (see below), whose sum is σ = 3377199032360. Its totient is φ = 3333562622208.

The previous prime is 3355377983957. The next prime is 3355377984031. The reversal of 3355377984001 is 1004897735533.

It can be written as a sum of positive squares in 4 ways, for example, as 418610294001 + 2936767690000 = 647001^2 + 1713700^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3355377984001 - 2⁷ = 3355377983873 is a prime.

It is a super-3 number, since 3×3355377984001³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3355377984031) 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 7 ways as a sum of consecutive naturals, for example, 234486 + ... + 2601103.

It is an arithmetic number, because the mean of its divisors is an integer number (422149879045).

Almost surely, 2^{3355377984001} is an apocalyptic number.

It is an amenable number.

3355377984001 is a deficient number, since it is larger than the sum of its proper divisors (21821048359).

3355377984001 is a wasteful number, since it uses less digits than its factorization.

3355377984001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843283.

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 3355377984001 in words is "three trillion, three hundred fifty-five billion, three hundred seventy-seven million, nine hundred eighty-four thousand, one".