3795840 has 96 divisors (see below), whose sum is σ = 13127400. Its totient is φ = 1010688.

The previous prime is 3795797. The next prime is 3795853. The reversal of 3795840 is 485973.

3795840 is a `hidden beast` number, since 3 + 79 + 584 + 0 = 666.

3795840 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3795795 and 3795804.

It is a congruent number.

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, 5431 + ... + 6089.

Almost surely, 2^3795840 is an apocalyptic number.

3795840 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 3795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563700).

3795840 is an abundant number, since it is smaller than the sum of its proper divisors (9331560).

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

3795840 is a wasteful number, since it uses less digits than its factorization.

3795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3795840 is about 1948.2915592898. The cubic root of 3795840 is about 155.9921100546.

The spelling of 3795840 in words is "three million, seven hundred ninety-five thousand, eight hundred forty".