3795600 has 60 divisors (see below), whose sum is σ = 12162416. Its totient is φ = 1011840.

The previous prime is 3795593. The next prime is 3795619. The reversal of 3795600 is 65973.

3795600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 382 + ... + 2781.

Almost surely, 2^3795600 is an apocalyptic number.

3795600 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 3795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081208).

3795600 is an abundant number, since it is smaller than the sum of its proper divisors (8366816).

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

3795600 is a wasteful number, since it uses less digits than its factorization.

3795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 3795600 is about 1948.2299658921. The cubic root of 3795600 is about 155.9888223418.

The spelling of 3795600 in words is "three million, seven hundred ninety-five thousand, six hundred".