3929952 has 96 divisors (see below), whose sum is σ = 11515392. Its totient is φ = 1165824.

The previous prime is 3929951. The next prime is 3929957. The reversal of 3929952 is 2599293.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3929952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3929951) 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, 58623 + ... + 58689.

It is an arithmetic number, because the mean of its divisors is an integer number (119952).

Almost surely, 2^3929952 is an apocalyptic number.

3929952 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 3929952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757696).

3929952 is an abundant number, since it is smaller than the sum of its proper divisors (7585440).

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

3929952 is a wasteful number, since it uses less digits than its factorization.

3929952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 43740, while the sum is 39.

The square root of 3929952 is about 1982.4106537244. The cubic root of 3929952 is about 157.8080240602.

The spelling of 3929952 in words is "three million, nine hundred twenty-nine thousand, nine hundred fifty-two".