3795440 has 80 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 1301760.

The previous prime is 3795439. The next prime is 3795443. The reversal of 3795440 is 445973.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3795397 and 3795406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16607 + ... + 16833.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 2^3795440 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 3795440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

3795440 is an abundant number, since it is smaller than the sum of its proper divisors (6382480).

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

3795440 is a wasteful number, since it uses less digits than its factorization.

3795440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3795440 is about 1948.1889025451. The cubic root of 3795440 is about 155.9866304562.

The spelling of 3795440 in words is "three million, seven hundred ninety-five thousand, four hundred forty".