3993840 has 120 divisors (see below), whose sum is σ = 14083920. Its totient is φ = 1040256.

The previous prime is 3993839. The next prime is 3993859. The reversal of 3993840 is 483993.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3993795 and 3993804.

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, 92859 + ... + 92901.

It is an arithmetic number, because the mean of its divisors is an integer number (117366).

Almost surely, 2^3993840 is an apocalyptic number.

3993840 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 3993840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041960).

3993840 is an abundant number, since it is smaller than the sum of its proper divisors (10090080).

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

3993840 is a wasteful number, since it uses less digits than its factorization.

3993840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3993840 is about 1998.4594066430. The cubic root of 3993840 is about 158.6585767439.

The spelling of 3993840 in words is "three million, nine hundred ninety-three thousand, eight hundred forty".