3382200442800 has 90 divisors (see below), whose sum is σ = 11737175049132. Its totient is φ = 901920117120.

The previous prime is 3382200442787. The next prime is 3382200442813. The reversal of 3382200442800 is 82440022833.

It is a happy number.

3382200442800 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 200 + 442 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3382200442787) and next prime (3382200442813).

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3382200442800² (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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 469746462 + ... + 469753661.

Almost surely, 2^{3382200442800} is an apocalyptic number.

3382200442800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3382200442800 is an abundant number, since it is smaller than the sum of its proper divisors (8354974606332).

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

3382200442800 is a wasteful number, since it uses less digits than its factorization.

3382200442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939500147 (or 939500133 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 3382200442800 in words is "three trillion, three hundred eighty-two billion, two hundred million, four hundred forty-two thousand, eight hundred".