3952944 has 60 divisors (see below), whose sum is σ = 11216296. Its totient is φ = 1299456.

The previous prime is 3952937. The next prime is 3952967. The reversal of 3952944 is 4492593.

It is a super-3 number, since 3×3952944³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3952899 and 3952908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13827 + ... + 14109.

Almost surely, 2^3952944 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 3952944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608148).

3952944 is an abundant number, since it is smaller than the sum of its proper divisors (7263352).

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

3952944 is a wasteful number, since it uses less digits than its factorization.

3952944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3952944 is about 1988.2011970623. The cubic root of 3952944 is about 158.1151753284.

The spelling of 3952944 in words is "three million, nine hundred fifty-two thousand, nine hundred forty-four".