3775200 has 216 divisors, whose sum is σ = 14545944. Its totient is φ = 844800.

The previous prime is 3775199. The next prime is 3775201. The reversal of 3775200 is 25773.

3775200 is digitally balanced in base 2, 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 (3775199) and next prime (3775201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3775201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290394 + ... + 290406.

Almost surely, 2^3775200 is an apocalyptic number.

3775200 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 3775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272972).

3775200 is an abundant number, since it is smaller than the sum of its proper divisors (10770744).

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

3775200 is a wasteful number, since it uses less digits than its factorization.

3775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 3775200 is about 1942.9873905921. The cubic root of 3775200 is about 155.7088586932.

The spelling of 3775200 in words is "three million, seven hundred seventy-five thousand, two hundred".