3382273843200 has 3024 divisors, whose sum is σ = 15595276525920. Its totient is φ = 722369249280.

The previous prime is 3382273843159. The next prime is 3382273843211. The reversal of 3382273843200 is 23483722833.

3382273843200 is a `hidden beast` number, since 3 + 382 + 27 + 3 + 8 + 43 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×3382273843200² (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 an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 46332518364 + ... + 46332518436.

Almost surely, 2^{3382273843200} is an apocalyptic number.

3382273843200 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 3382273843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797638262960).

3382273843200 is an abundant number, since it is smaller than the sum of its proper divisors (12213002682720).

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

3382273843200 is an equidigital number, since it uses as much as digits as its factorization.

3382273843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3382273843200 in words is "three trillion, three hundred eighty-two billion, two hundred seventy-three million, eight hundred forty-three thousand, two hundred".