3364441800 has 48 divisors (see below), whose sum is σ = 10429771440. Its totient is φ = 897184320.

The previous prime is 3364441781. The next prime is 3364441867. The reversal of 3364441800 is 81444633.

It is a happy number.

It is a super-2 number, since 2×3364441800² = 22638937251174480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2803102 + ... + 2804301.

It is an arithmetic number, because the mean of its divisors is an integer number (217286905).

Almost surely, 2^3364441800 is an apocalyptic number.

3364441800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3364441800 is an abundant number, since it is smaller than the sum of its proper divisors (7065329640).

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

3364441800 is a wasteful number, since it uses less digits than its factorization.

3364441800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607422 (or 5607413 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3364441800 is about 58003.8084956497. The cubic root of 3364441800 is about 1498.4341882801.

The spelling of 3364441800 in words is "three billion, three hundred sixty-four million, four hundred forty-one thousand, eight hundred".