3993948 has 72 divisors (see below), whose sum is σ = 11985792. Its totient is φ = 1139184.

The previous prime is 3993943. The next prime is 3993949. The reversal of 3993948 is 8493993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993943) 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 23 ways as a sum of consecutive naturals, for example, 6511 + ... + 7097.

Almost surely, 2^3993948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992896).

3993948 is an abundant number, since it is smaller than the sum of its proper divisors (7991844).

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

3993948 is a wasteful number, since it uses less digits than its factorization.

3993948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 599 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 3993948 is about 1998.4864272744. The cubic root of 3993948 is about 158.6600068606.

Adding to 3993948 its sum of digits (45), we get a palindrome (3993993).

The spelling of 3993948 in words is "three million, nine hundred ninety-three thousand, nine hundred forty-eight".