3993240 has 64 divisors (see below), whose sum is σ = 12130560. Its totient is φ = 1051520.

The previous prime is 3993239. The next prime is 3993247. The reversal of 3993240 is 423993.

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 = 3993198 and 3993207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12685 + ... + 12995.

It is an arithmetic number, because the mean of its divisors is an integer number (189540).

Almost surely, 2^3993240 is an apocalyptic number.

3993240 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 3993240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065280).

3993240 is an abundant number, since it is smaller than the sum of its proper divisors (8137320).

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

3993240 is a wasteful number, since it uses less digits than its factorization.

3993240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3993240 is about 1998.3092853710. The cubic root of 3993240 is about 158.6506311816.

The spelling of 3993240 in words is "three million, nine hundred ninety-three thousand, two hundred forty".