3952144 has 45 divisors (see below), whose sum is σ = 9034671. Its totient is φ = 1669920.

The previous prime is 3952127. The next prime is 3952163. The reversal of 3952144 is 4412593.

The square root of 3952144 is 1988.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

Its product of digits (4320) is a multiple of the sum of its prime divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55629 + ... + 55699.

Almost surely, 2^3952144 is an apocalyptic number.

3952144 is the 1988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3952144

3952144 is an abundant number, since it is smaller than the sum of its proper divisors (5082527).

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

3952144 is an equidigital number, since it uses as much as digits as its factorization.

3952144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 80 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The cubic root of 3952144 is about 158.1045081164.

It can be divided in two parts, 3952 and 144, that added together give a 12-th power (4096 = 2¹²).

The spelling of 3952144 in words is "three million, nine hundred fifty-two thousand, one hundred forty-four".