3371200 has 126 divisors (see below), whose sum is σ = 9873996. Its totient is φ = 1128960.

The previous prime is 3371191. The next prime is 3371209. The reversal of 3371200 is 21733.

It is an interprime number because it is at equal distance from previous prime (3371191) and next prime (3371209).

It is a super-2 number, since 2×3371200² = 22729978880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3371209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78379 + ... + 78421.

Almost surely, 2^3371200 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 3371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936998).

3371200 is an abundant number, since it is smaller than the sum of its proper divisors (6502796).

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

3371200 is a wasteful number, since it uses less digits than its factorization.

3371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 3371200 is about 1836.0827868046. The cubic root of 3371200 is about 149.9436825620.

Adding to 3371200 its reverse (21733), we get a palindrome (3392933).

The spelling of 3371200 in words is "three million, three hundred seventy-one thousand, two hundred".