3351200 has 72 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 1299200.

The previous prime is 3351197. The next prime is 3351203. The reversal of 3351200 is 21533.

3351200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3351197) and next prime (3351203).

It is a super-2 number, since 2×3351200² = 22461082880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3351203) 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, 47165 + ... + 47235.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^3351200 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 3351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

3351200 is an abundant number, since it is smaller than the sum of its proper divisors (5085760).

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

3351200 is a wasteful number, since it uses less digits than its factorization.

3351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3351200 is about 1830.6283074398. The cubic root of 3351200 is about 149.6465753348.

Adding to 3351200 its reverse (21533), we get a palindrome (3372733).

The spelling of 3351200 in words is "three million, three hundred fifty-one thousand, two hundred".