3164448 has 96 divisors (see below), whose sum is σ = 10088064. Its totient is φ = 847872.

The previous prime is 3164443. The next prime is 3164479. The reversal of 3164448 is 8444613.

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

It is a super-2 number, since 2×3164448² = 20027462289408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3164443) 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, 11286 + ... + 11562.

It is an arithmetic number, because the mean of its divisors is an integer number (105084).

Almost surely, 2^3164448 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 3164448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044032).

3164448 is an abundant number, since it is smaller than the sum of its proper divisors (6923616).

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

3164448 is a wasteful number, since it uses less digits than its factorization.

3164448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 3164448 is about 1778.8895412588. The cubic root of 3164448 is about 146.8134985001.

It can be divided in two parts, 3 and 164448, that added together give a triangular number (164451 = T₅₇₃).

The spelling of 3164448 in words is "three million, one hundred sixty-four thousand, four hundred forty-eight".