3385200 has 240 divisors, whose sum is σ = 13776896. Its totient is φ = 691200.

The previous prime is 3385181. The next prime is 3385201. The reversal of 3385200 is 25833.

3385200 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3385200² = 22919158080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

3385200 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109185 + ... + 109215.

Almost surely, 2^3385200 is an apocalyptic number.

3385200 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 3385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888448).

3385200 is an abundant number, since it is smaller than the sum of its proper divisors (10391696).

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

3385200 is a wasteful number, since it uses less digits than its factorization.

3385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3385200 is about 1839.8913011371. The cubic root of 3385200 is about 150.1509591357.

The spelling of 3385200 in words is "three million, three hundred eighty-five thousand, two hundred".