3397800 has 96 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 775680.

The previous prime is 3397783. The next prime is 3397811. The reversal of 3397800 is 87933.

3397800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 3796 + ... + 4604.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

Almost surely, 2^3397800 is an apocalyptic number.

3397800 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 3397800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

3397800 is an abundant number, since it is smaller than the sum of its proper divisors (8655000).

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

3397800 is a wasteful number, since it uses less digits than its factorization.

3397800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3397800 is about 1843.3122361662. The cubic root of 3397800 is about 150.3370199942.

The spelling of 3397800 in words is "three million, three hundred ninety-seven thousand, eight hundred".