3893952 has 56 divisors (see below), whose sum is σ = 10917936. Its totient is φ = 1220608.

The previous prime is 3893933. The next prime is 3893957. The reversal of 3893952 is 2593983.

3893952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (58320) is a multiple of the sum of its prime divisors (1215).

It is a self number, because there is not a number n which added to its sum of digits gives 3893952.

It is not an unprimeable number, because it can be changed into a prime (3893957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2668 + ... + 3860.

Almost surely, 2^3893952 is an apocalyptic number.

3893952 is a gapful number since it is divisible by the number (32) 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 3893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458968).

3893952 is an abundant number, since it is smaller than the sum of its proper divisors (7023984).

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

3893952 is a wasteful number, since it uses less digits than its factorization.

3893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 3893952 is about 1973.3099097709. The cubic root of 3893952 is about 157.3246827252.

The spelling of 3893952 in words is "three million, eight hundred ninety-three thousand, nine hundred fifty-two".