3385800 has 240 divisors, whose sum is σ = 13503600. Its totient is φ = 777600.

The previous prime is 3385793. The next prime is 3385817. The reversal of 3385800 is 85833.

3385800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3385800² = 22927283280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 178191 + ... + 178209.

It is an arithmetic number, because the mean of its divisors is an integer number (56265).

Almost surely, 2^3385800 is an apocalyptic number.

3385800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751800).

3385800 is an abundant number, since it is smaller than the sum of its proper divisors (10117800).

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

3385800 is a wasteful number, since it uses less digits than its factorization.

3385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3385800 is about 1840.0543470235. The cubic root of 3385800 is about 150.1598296361.

The spelling of 3385800 in words is "three million, three hundred eighty-five thousand, eight hundred".