3382200442460 has 96 divisors (see below), whose sum is σ = 8149199909760. Its totient is φ = 1155055868928.

The previous prime is 3382200442459. The next prime is 3382200442463. The reversal of 3382200442460 is 642440022833.

It is a super-2 number, since 2×3382200442460² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382200442463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83209262 + ... + 83249898.

It is an arithmetic number, because the mean of its divisors is an integer number (84887499060).

Almost surely, 2^{3382200442460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382200442460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074599954880).

3382200442460 is an abundant number, since it is smaller than the sum of its proper divisors (4766999467300).

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

3382200442460 is a wasteful number, since it uses less digits than its factorization.

3382200442460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42975 (or 42973 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 3382200442460 in words is "three trillion, three hundred eighty-two billion, two hundred million, four hundred forty-two thousand, four hundred sixty".