3366221414400 has 1536 divisors, whose sum is σ = 13925296224000. Its totient is φ = 791024762880.

The previous prime is 3366221414327. The next prime is 3366221414411. The reversal of 3366221414400 is 44141226633.

3366221414400 is a `hidden beast` number, since 3 + 3 + 6 + 622 + 14 + 14 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×3366221414400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6613401346 + ... + 6613401854.

Almost surely, 2^{3366221414400} is an apocalyptic number.

3366221414400 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 3366221414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962648112000).

3366221414400 is an abundant number, since it is smaller than the sum of its proper divisors (10559074809600).

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

3366221414400 is a wasteful number, since it uses less digits than its factorization.

3366221414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3366221414400 in words is "three trillion, three hundred sixty-six billion, two hundred twenty-one million, four hundred fourteen thousand, four hundred".