3315433316800 has 504 divisors, whose sum is σ = 9270386813520. Its totient is φ = 1156977868800.

The previous prime is 3315433316779. The next prime is 3315433316801. The reversal of 3315433316800 is 86133345133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3315433316801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2060554396 + ... + 2060556004.

It is an arithmetic number, because the mean of its divisors is an integer number (18393624630).

Almost surely, 2^{3315433316800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3315433316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635193406760).

3315433316800 is an abundant number, since it is smaller than the sum of its proper divisors (5954953496720).

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

3315433316800 is a wasteful number, since it uses less digits than its factorization.

3315433316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 3315433316800 in words is "three trillion, three hundred fifteen billion, four hundred thirty-three million, three hundred sixteen thousand, eight hundred".