3366950716800 has 960 divisors, whose sum is σ = 14143908303360. Its totient is φ = 780726988800.

The previous prime is 3366950716799. The next prime is 3366950716841. The reversal of 3366950716800 is 86170596633.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3366950716800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65551929 + ... + 65603271.

It is an arithmetic number, because the mean of its divisors is an integer number (14733237816).

Almost surely, 2^{3366950716800} is an apocalyptic number.

3366950716800 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 3366950716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071954151680).

3366950716800 is an abundant number, since it is smaller than the sum of its proper divisors (10776957586560).

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

3366950716800 is a wasteful number, since it uses less digits than its factorization.

3366950716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51413 (or 51387 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3366950716800 in words is "three trillion, three hundred sixty-six billion, nine hundred fifty million, seven hundred sixteen thousand, eight hundred".