3960840 has 64 divisors (see below), whose sum is σ = 12801600. Its totient is φ = 974592.

The previous prime is 3960833. The next prime is 3960841. The reversal of 3960840 is 480693.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3960798 and 3960807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (200025).

Almost surely, 2^3960840 is an apocalyptic number.

3960840 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 3960840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400800).

3960840 is an abundant number, since it is smaller than the sum of its proper divisors (8840760).

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

3960840 is a wasteful number, since it uses less digits than its factorization.

3960840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3960840 is about 1990.1859209632. The cubic root of 3960840 is about 158.2203835874.

The spelling of 3960840 in words is "three million, nine hundred sixty thousand, eight hundred forty".