3795984 has 100 divisors (see below), whose sum is σ = 11478060. Its totient is φ = 1209600.

The previous prime is 3795983. The next prime is 3796003. The reversal of 3795984 is 4895973.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 810000 = 1728^2 + 900^2 .

Its product of digits (272160) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37534 + ... + 37634.

Almost surely, 2^3795984 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 3795984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739030).

3795984 is an abundant number, since it is smaller than the sum of its proper divisors (7682076).

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

3795984 is a wasteful number, since it uses less digits than its factorization.

3795984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 3795984 is about 1948.3285143938. The cubic root of 3795984 is about 155.9940826158.

The spelling of 3795984 in words is "three million, seven hundred ninety-five thousand, nine hundred eighty-four".