3730800 has 60 divisors (see below), whose sum is σ = 11954840. Its totient is φ = 994560.

The previous prime is 3730799. The next prime is 3730801. The reversal of 3730800 is 80373.

3730800 is digitally balanced in base 5, 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 (3730799) and next prime (3730801).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355 + ... + 2754.

Almost surely, 2^3730800 is an apocalyptic number.

3730800 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 3730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977420).

3730800 is an abundant number, since it is smaller than the sum of its proper divisors (8224040).

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

3730800 is a wasteful number, since it uses less digits than its factorization.

3730800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3730800 is about 1931.5278926280. The cubic root of 3730800 is about 155.0960209754.

The spelling of 3730800 in words is "three million, seven hundred thirty thousand, eight hundred".