3364016947200 has 2448 divisors, whose sum is σ = 15618294531840. Its totient is φ = 672682475520.

The previous prime is 3364016947129. The next prime is 3364016947201. The reversal of 3364016947200 is 27496104633.

3364016947200 is a `hidden beast` number, since 3 + 36 + 401 + 6 + 9 + 4 + 7 + 200 = 666.

It is a super-2 number, since 2×3364016947200² (a number of 26 digits) contains 22 as substring.

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 (3364016947201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30862540746 + ... + 30862540854.

Almost surely, 2^{3364016947200} is an apocalyptic number.

3364016947200 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 3364016947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809147265920).

3364016947200 is an abundant number, since it is smaller than the sum of its proper divisors (12254277584640).

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

3364016947200 is a wasteful number, since it uses less digits than its factorization.

3364016947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3364016947200 in words is "three trillion, three hundred sixty-four billion, sixteen million, nine hundred forty-seven thousand, two hundred".