3333800 has 48 divisors (see below), whose sum is σ = 7886400. Its totient is φ = 1310400.

The previous prime is 3333791. The next prime is 3333809. The reversal of 3333800 is 83333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3333791) and next prime (3333809).

It is a super-2 number, since 2×3333800² = 22228444880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3333809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15695 + ... + 15905.

It is an arithmetic number, because the mean of its divisors is an integer number (164300).

Almost surely, 2^3333800 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 3333800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943200).

3333800 is an abundant number, since it is smaller than the sum of its proper divisors (4552600).

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

3333800 is a wasteful number, since it uses less digits than its factorization.

3333800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3333800 is about 1825.8696558079. The cubic root of 3333800 is about 149.3871289673.

It can be divided in two parts, 33 and 33800, that added together give a palindrome (33833).

The spelling of 3333800 in words is "three million, three hundred thirty-three thousand, eight hundred".