3793040 has 40 divisors (see below), whose sum is σ = 9340920. Its totient is φ = 1427456.

The previous prime is 3793039. The next prime is 3793061. The reversal of 3793040 is 403973.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 2808976 = 992^2 + 1676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 2754.

It is an arithmetic number, because the mean of its divisors is an integer number (233523).

Almost surely, 2^3793040 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 3793040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670460).

3793040 is an abundant number, since it is smaller than the sum of its proper divisors (5547880).

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

3793040 is a wasteful number, since it uses less digits than its factorization.

3793040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 3793040 is about 1947.5728484450. The cubic root of 3793040 is about 155.9537447785.

The spelling of 3793040 in words is "three million, seven hundred ninety-three thousand, forty".