3546200 has 96 divisors (see below), whose sum is σ = 10044000. Its totient is φ = 1136640.

The previous prime is 3546199. The next prime is 3546233. The reversal of 3546200 is 26453.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23726 + ... + 23874.

It is an arithmetic number, because the mean of its divisors is an integer number (104625).

Almost surely, 2^3546200 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 3546200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022000).

3546200 is an abundant number, since it is smaller than the sum of its proper divisors (6497800).

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

3546200 is a wasteful number, since it uses less digits than its factorization.

3546200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3546200 is about 1883.1356828439. The cubic root of 3546200 is about 152.4945801173.

3546200 divided by its sum of digits (20) gives a triangular number (177310 = T₅₉₅).

The spelling of 3546200 in words is "three million, five hundred forty-six thousand, two hundred".