3334066706700 has 72 divisors (see below), whose sum is σ = 10718407050960. Its totient is φ = 889084454400.

The previous prime is 3334066706689. The next prime is 3334066706701. The reversal of 3334066706700 is 76076604333.

It is a super-3 number, since 3×3334066706700³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3334066706701) 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 23 ways as a sum of consecutive naturals, for example, 617417061 + ... + 617422460.

Almost surely, 2^{3334066706700} is an apocalyptic number.

3334066706700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3334066706700 is an abundant number, since it is smaller than the sum of its proper divisors (7384340344260).

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

3334066706700 is a wasteful number, since it uses less digits than its factorization.

3334066706700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234839544 (or 1234839531 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 3334066706700 in words is "three trillion, three hundred thirty-four billion, sixty-six million, seven hundred six thousand, seven hundred".