3795400 has 48 divisors (see below), whose sum is σ = 10088640. Its totient is φ = 1300800.

The previous prime is 3795377. The next prime is 3795401. The reversal of 3795400 is 45973.

3795400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3795400² = 28810122320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3795401) 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, 45 + ... + 2755.

It is an arithmetic number, because the mean of its divisors is an integer number (210180).

Almost surely, 2^3795400 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 3795400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044320).

3795400 is an abundant number, since it is smaller than the sum of its proper divisors (6293240).

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

3795400 is a wasteful number, since it uses less digits than its factorization.

3795400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 3795400 is about 1948.1786365731. The cubic root of 3795400 is about 155.9860824752.

The spelling of 3795400 in words is "three million, seven hundred ninety-five thousand, four hundred".