3755200 has 42 divisors (see below), whose sum is σ = 9244076. Its totient is φ = 1501440.

The previous prime is 3755197. The next prime is 3755203. The reversal of 3755200 is 25573.

It is an interprime number because it is at equal distance from previous prime (3755197) and next prime (3755203).

It is not an unprimeable number, because it can be changed into a prime (3755203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427 + ... + 2773.

Almost surely, 2^3755200 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 3755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622038).

3755200 is an abundant number, since it is smaller than the sum of its proper divisors (5488876).

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

3755200 is a wasteful number, since it uses less digits than its factorization.

3755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 3755200 is about 1937.8338422063. The cubic root of 3755200 is about 155.4334037260.

The spelling of 3755200 in words is "three million, seven hundred fifty-five thousand, two hundred".