3451200 has 84 divisors (see below), whose sum is σ = 11338560. Its totient is φ = 919040.

The previous prime is 3451193. The next prime is 3451207. The reversal of 3451200 is 21543.

It is an interprime number because it is at equal distance from previous prime (3451193) and next prime (3451207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3451200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3451207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4441 + ... + 5159.

Almost surely, 2^3451200 is an apocalyptic number.

3451200 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 3451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280).

3451200 is an abundant number, since it is smaller than the sum of its proper divisors (7887360).

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

3451200 is a wasteful number, since it uses less digits than its factorization.

3451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3451200 is about 1857.7405631573. The cubic root of 3451200 is about 151.1204979431.

Adding to 3451200 its reverse (21543), we get a palindrome (3472743).

The spelling of 3451200 in words is "three million, four hundred fifty-one thousand, two hundred".