3793840 has 40 divisors (see below), whose sum is σ = 9017280. Its totient is φ = 1483776.

The previous prime is 3793837. The next prime is 3793849. The reversal of 3793840 is 483973.

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

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3793796 and 3793805.

It is not an unprimeable number, because it can be changed into a prime (3793849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3256 + ... + 4264.

It is an arithmetic number, because the mean of its divisors is an integer number (225432).

Almost surely, 2^3793840 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 3793840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508640).

3793840 is an abundant number, since it is smaller than the sum of its proper divisors (5223440).

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

3793840 is a wasteful number, since it uses less digits than its factorization.

3793840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 3793840 is about 1947.7782214616. The cubic root of 3793840 is about 155.9647082120.

The spelling of 3793840 in words is "three million, seven hundred ninety-three thousand, eight hundred forty".