3382286745600 has 576 divisors, whose sum is σ = 13846974559080. Its totient is φ = 773094113280.

The previous prime is 3382286745559. The next prime is 3382286745623. The reversal of 3382286745600 is 65476822833.

3382286745600 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 2 + 8 + 6 + 74 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3382286745600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 483183820797 + ... + 483183820803.

Almost surely, 2^{3382286745600} is an apocalyptic number.

3382286745600 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 3382286745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923487279540).

3382286745600 is an abundant number, since it is smaller than the sum of its proper divisors (10464687813480).

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

3382286745600 is an frugal number, since it uses more digits than its factorization.

3382286745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 3382286745600 in words is "three trillion, three hundred eighty-two billion, two hundred eighty-six million, seven hundred forty-five thousand, six hundred".