3968040 has 64 divisors (see below), whose sum is σ = 12196800. Its totient is φ = 1032192.

The previous prime is 3968023. The next prime is 3968047. The reversal of 3968040 is 408693.

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 = 3967989 and 3968007.

It is not an unprimeable number, because it can be changed into a prime (3968047) 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, 4776 + ... + 5544.

It is an arithmetic number, because the mean of its divisors is an integer number (190575).

Almost surely, 2^3968040 is an apocalyptic number.

3968040 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 3968040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098400).

3968040 is an abundant number, since it is smaller than the sum of its proper divisors (8228760).

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

3968040 is a wasteful number, since it uses less digits than its factorization.

3968040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

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

The square root of 3968040 is about 1991.9939758945. The cubic root of 3968040 is about 158.3161963601.

The spelling of 3968040 in words is "three million, nine hundred sixty-eight thousand, forty".