3382200442404 has 96 divisors (see below), whose sum is σ = 10457044899840. Its totient is φ = 924328066464.

The previous prime is 3382200442367. The next prime is 3382200442409. The reversal of 3382200442404 is 4042440022833.

3382200442404 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 200 + 4 + 42 + 404 = 666.

It is a super-2 number, since 2×3382200442404² (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 not an unprimeable number, because it can be changed into a prime (3382200442409) 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, 97239354 + ... + 97274129.

It is an arithmetic number, because the mean of its divisors is an integer number (108927551040).

Almost surely, 2^{3382200442404} is an apocalyptic number.

It is an amenable number.

3382200442404 is an abundant number, since it is smaller than the sum of its proper divisors (7074844457436).

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

3382200442404 is a wasteful number, since it uses less digits than its factorization.

3382200442404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194513526 (or 194513518 counting only the distinct ones).

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

The spelling of 3382200442404 in words is "three trillion, three hundred eighty-two billion, two hundred million, four hundred forty-two thousand, four hundred four".