3355200 has 126 divisors (see below), whose sum is σ = 11976354. Its totient is φ = 890880.

The previous prime is 3355193. The next prime is 3355201. The reversal of 3355200 is 25533.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 3326976 = 168^2 + 1824^2 .

It is a super-2 number, since 2×3355200² = 22514734080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3355201) 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, 14284 + ... + 14516.

Almost surely, 2^3355200 is an apocalyptic number.

3355200 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 3355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988177).

3355200 is an abundant number, since it is smaller than the sum of its proper divisors (8621154).

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

3355200 is a wasteful number, since it uses less digits than its factorization.

3355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 3355200 is about 1831.7205026968. The cubic root of 3355200 is about 149.7060911601.

The spelling of 3355200 in words is "three million, three hundred fifty-five thousand, two hundred".