3362800 has 60 divisors (see below), whose sum is σ = 9240976. Its totient is φ = 1152000.

The previous prime is 3362741. The next prime is 3362809. The reversal of 3362800 is 82633.

It is a super-2 number, since 2×3362800² = 22616847680000, which contains 22 as substring.

3362800 is an undulating number in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362809) 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 11 ways as a sum of consecutive naturals, for example, 2200 + ... + 3400.

Almost surely, 2^3362800 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 3362800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620488).

3362800 is an abundant number, since it is smaller than the sum of its proper divisors (5878176).

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

3362800 is a wasteful number, since it uses less digits than its factorization.

3362800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3362800 is about 1833.7938815472. The cubic root of 3362800 is about 149.8190410394.

It can be divided in two parts, 3362 and 800, that multiplied together give a square (2689600 = 1640²).

The spelling of 3362800 in words is "three million, three hundred sixty-two thousand, eight hundred".