3759840 has 144 divisors (see below), whose sum is σ = 14702688. Its totient is φ = 857088.

The previous prime is 3759799. The next prime is 3759851. The reversal of 3759840 is 489573.

3759840 is digitally balanced in base 8, 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 (144).

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

3759840 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3759795 and 3759804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9894 + ... + 10266.

It is an arithmetic number, because the mean of its divisors is an integer number (102102).

Almost surely, 2^3759840 is an apocalyptic number.

3759840 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 3759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351344).

3759840 is an abundant number, since it is smaller than the sum of its proper divisors (10942848).

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

3759840 is a wasteful number, since it uses less digits than its factorization.

3759840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

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

The square root of 3759840 is about 1939.0306856778. The cubic root of 3759840 is about 155.4973962475.

The spelling of 3759840 in words is "three million, seven hundred fifty-nine thousand, eight hundred forty".