3364306066800 has 300 divisors, whose sum is σ = 13799114642896. Its totient is φ = 768984192000.

The previous prime is 3364306066717. The next prime is 3364306066829. The reversal of 3364306066800 is 86606034633.

3364306066800 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 30 + 606 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×3364306066800² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7190101 + ... + 7643700.

Almost surely, 2^{3364306066800} is an apocalyptic number.

3364306066800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3364306066800 is an abundant number, since it is smaller than the sum of its proper divisors (10434808576096).

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

3364306066800 is a wasteful number, since it uses less digits than its factorization.

3364306066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14833838 (or 14833818 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 3364306066800 in words is "three trillion, three hundred sixty-four billion, three hundred six million, sixty-six thousand, eight hundred".