3313445961600 has 768 divisors, whose sum is σ = 12549487257600. Its totient is φ = 852896563200.

The previous prime is 3313445961599. The next prime is 3313445961607. The reversal of 3313445961600 is 61695443133.

It is a happy number.

3313445961600 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 44 + 596 + 16 + 0 + 0 = 666.

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 (3313445961607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1224027447 + ... + 1224030153.

It is an arithmetic number, because the mean of its divisors is an integer number (16340478200).

Almost surely, 2^{3313445961600} is an apocalyptic number.

3313445961600 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 3313445961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274743628800).

3313445961600 is an abundant number, since it is smaller than the sum of its proper divisors (9236041296000).

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

3313445961600 is a wasteful number, since it uses less digits than its factorization.

3313445961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3313445961600 in words is "three trillion, three hundred thirteen billion, four hundred forty-five million, nine hundred sixty-one thousand, six hundred".