3803952 has 80 divisors (see below), whose sum is σ = 10693760. Its totient is φ = 1161216.

The previous prime is 3803951. The next prime is 3803977. The reversal of 3803952 is 2593083.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3803951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39168 + ... + 39264.

It is an arithmetic number, because the mean of its divisors is an integer number (133672).

Almost surely, 2^3803952 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 3803952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346880).

3803952 is an abundant number, since it is smaller than the sum of its proper divisors (6889808).

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

3803952 is a wasteful number, since it uses less digits than its factorization.

3803952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3803952 is about 1950.3722721573. The cubic root of 3803952 is about 156.1031533407.

The spelling of 3803952 in words is "three million, eight hundred three thousand, nine hundred fifty-two".