3361810489200 has 600 divisors, whose sum is σ = 12288622592400. Its totient is φ = 879934648320.

The previous prime is 3361810489159. The next prime is 3361810489201. The reversal of 3361810489200 is 29840181633.

3361810489200 is a `hidden beast` number, since 3 + 3 + 618 + 1 + 0 + 4 + 8 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×3361810489200² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361810489201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2089377996 + ... + 2089379604.

It is an arithmetic number, because the mean of its divisors is an integer number (20481037654).

Almost surely, 2^{3361810489200} is an apocalyptic number.

3361810489200 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 3361810489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144311296200).

3361810489200 is an abundant number, since it is smaller than the sum of its proper divisors (8926812103200).

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

3361810489200 is a wasteful number, since it uses less digits than its factorization.

3361810489200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 3361810489200 in words is "three trillion, three hundred sixty-one billion, eight hundred ten million, four hundred eighty-nine thousand, two hundred".