3340000800 has 108 divisors (see below), whose sum is σ = 11777703210. Its totient is φ = 890664960.

The previous prime is 3340000787. The next prime is 3340000801. The reversal of 3340000800 is 80000433.

It can be written as a sum of positive squares in 3 ways, for example, as 2597329296 + 742671504 = 50964^2 + 27252^2 .

It is a super-2 number, since 2×3340000800² = 22311210688001280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3340000801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 224745 + ... + 239144.

Almost surely, 2^3340000800 is an apocalyptic number.

3340000800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3340000800 is an abundant number, since it is smaller than the sum of its proper divisors (8437702410).

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

3340000800 is a wasteful number, since it uses less digits than its factorization.

3340000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463915 (or 463899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3340000800 is about 57792.7400284845. The cubic root of 3340000800 is about 1494.7969060771.

The spelling of 3340000800 in words is "three billion, three hundred forty million, eight hundred", and thus it is an aban number.