3372006002733 has 48 divisors (see below), whose sum is σ = 4934537127936. Its totient is φ = 2218767253920.

The previous prime is 3372006002699. The next prime is 3372006002741.

3372006002733 is a `hidden beast` number, since 3 + 3 + 7 + 20 + 0 + 600 + 27 + 3 + 3 = 666.

3372006002733 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3372006002733 - 2¹² = 3372005998637 is a prime.

It is a super-2 number, since 2×3372006002733² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3372006004733) 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 47 ways as a sum of consecutive naturals, for example, 144542116 + ... + 144565442.

It is an arithmetic number, because the mean of its divisors is an integer number (102802856832).

Almost surely, 2^{3372006002733} is an apocalyptic number.

It is an amenable number.

3372006002733 is a deficient number, since it is larger than the sum of its proper divisors (1562531125203).

3372006002733 is a wasteful number, since it uses less digits than its factorization.

3372006002733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24174 (or 24171 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 36.

The spelling of 3372006002733 in words is "three trillion, three hundred seventy-two billion, six million, two thousand, seven hundred thirty-three".