3952004 has 48 divisors (see below), whose sum is σ = 8494080. Its totient is φ = 1572480.

The previous prime is 3951989. The next prime is 3952009. The reversal of 3952004 is 4002593.

3952004 = T₅₆ + T₅₇ + ... + T₂₈₇.

It is not an unprimeable number, because it can be changed into a prime (3952009) 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, 25094 + ... + 25250.

It is an arithmetic number, because the mean of its divisors is an integer number (176960).

Almost surely, 2^3952004 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 3952004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247040).

3952004 is an abundant number, since it is smaller than the sum of its proper divisors (4542076).

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

3952004 is a wasteful number, since it uses less digits than its factorization.

3952004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 3952004 is about 1987.9647884206. The cubic root of 3952004 is about 158.1026412063.

Adding to 3952004 its reverse (4002593), we get a palindrome (7954597).

The spelling of 3952004 in words is "three million, nine hundred fifty-two thousand, four".