3955952 has 120 divisors (see below), whose sum is σ = 10892160. Its totient is φ = 1347840.

The previous prime is 3955949. The next prime is 3955969. The reversal of 3955952 is 2595593.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208199 + ... + 208217.

It is an arithmetic number, because the mean of its divisors is an integer number (90768).

Almost surely, 2^3955952 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 3955952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446080).

3955952 is an abundant number, since it is smaller than the sum of its proper divisors (6936208).

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

3955952 is a wasteful number, since it uses less digits than its factorization.

3955952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its digits is 60750, while the sum is 38.

The square root of 3955952 is about 1988.9575158861. The cubic root of 3955952 is about 158.1552711708.

The spelling of 3955952 in words is "three million, nine hundred fifty-five thousand, nine hundred fifty-two".