3382200442440 has 48 divisors (see below), whose sum is σ = 10992151439100. Its totient is φ = 901920117888.

The previous prime is 3382200442433. The next prime is 3382200442459. The reversal of 3382200442440 is 442440022833.

3382200442440 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 200 + 4 + 4 + 2 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2743508573316 + 638691869124 = 1656354^2 + 799182^2 .

It is a super-2 number, since 2×3382200442440² (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 junction number, because it is equal to n+sod(n) for n = 3382200442395 and 3382200442404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4697500255 + ... + 4697500974.

Almost surely, 2^{3382200442440} is an apocalyptic number.

3382200442440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3382200442440 is an abundant number, since it is smaller than the sum of its proper divisors (7609950996660).

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

3382200442440 is a wasteful number, since it uses less digits than its factorization.

3382200442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395001246 (or 9395001239 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 3382200442440 in words is "three trillion, three hundred eighty-two billion, two hundred million, four hundred forty-two thousand, four hundred forty".