3735200 has 144 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1182720.

The previous prime is 3735181. The next prime is 3735209. The reversal of 3735200 is 25373.

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

It is not an unprimeable number, because it can be changed into a prime (3735209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128786 + ... + 128814.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^3735200 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 3735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3735200 is an abundant number, since it is smaller than the sum of its proper divisors (7514080).

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

3735200 is a wasteful number, since it uses less digits than its factorization.

3735200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 3735200 is about 1932.6665516845. Note that the first 3 decimals coincide. The cubic root of 3735200 is about 155.1569689751.

The spelling of 3735200 in words is "three million, seven hundred thirty-five thousand, two hundred".