3933664 has 48 divisors (see below), whose sum is σ = 9380448. Its totient is φ = 1585152.

The previous prime is 3933599. The next prime is 3933731. The reversal of 3933664 is 4663393.

3933664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3292 + ... + 4324.

It is an arithmetic number, because the mean of its divisors is an integer number (195426).

Almost surely, 2^3933664 is an apocalyptic number.

3933664 is a gapful number since it is divisible by the number (34) 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 3933664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690224).

3933664 is an abundant number, since it is smaller than the sum of its proper divisors (5446784).

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

3933664 is a wasteful number, since it uses less digits than its factorization.

3933664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its digits is 34992, while the sum is 34.

The square root of 3933664 is about 1983.3466666218. The cubic root of 3933664 is about 157.8576937975.

The spelling of 3933664 in words is "three million, nine hundred thirty-three thousand, six hundred sixty-four".