3993000 has 128 divisors (see below), whose sum is σ = 13703040. Its totient is φ = 968000.

The previous prime is 3992987. The next prime is 3993019. The reversal of 3993000 is 3993.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=110.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 362995 + ... + 363005.

It is an arithmetic number, because the mean of its divisors is an integer number (107055).

Almost surely, 2^3993000 is an apocalyptic number.

3993000 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 3993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851520).

3993000 is an abundant number, since it is smaller than the sum of its proper divisors (9710040).

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

3993000 is a wasteful number, since it uses less digits than its factorization.

3993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 3993000 is about 1998.2492337043. The cubic root of 3993000 is about 158.6474527338.

3993000 divided by its sum of digits (24) gives a cube (166375 = 55³).

Adding to 3993000 its reverse (3993), we get a palindrome (3996993).

3993000 divided by its reverse (3993) gives a cube (1000 = 10³).

It can be divided in two parts, 39 and 93000, that added together give a palindrome (93039).

The spelling of 3993000 in words is "three million, nine hundred ninety-three thousand".