3361045363200 has 720 divisors, whose sum is σ = 14255800278720. Its totient is φ = 768233963520.

The previous prime is 3361045363199. The next prime is 3361045363259. The reversal of 3361045363200 is 23635401633.

3361045363200 is a `hidden beast` number, since 3 + 3 + 6 + 10 + 4 + 5 + 3 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3361045363200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21695616 + ... + 21849984.

Almost surely, 2^{3361045363200} is an apocalyptic number.

3361045363200 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 3361045363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127900139360).

3361045363200 is an abundant number, since it is smaller than the sum of its proper divisors (10894754915520).

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

3361045363200 is an equidigital number, since it uses as much as digits as its factorization.

3361045363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154419 (or 154386 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 3361045363200 in words is "three trillion, three hundred sixty-one billion, forty-five million, three hundred sixty-three thousand, two hundred".