3164208448 has 56 divisors (see below), whose sum is σ = 6426842112. Its totient is φ = 1544999424.

The previous prime is 3164208413. The next prime is 3164208461. The reversal of 3164208448 is 8448024613.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3164208448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1824990 + ... + 1826722.

Almost surely, 2^3164208448 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 3164208448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213421056).

3164208448 is an abundant number, since it is smaller than the sum of its proper divisors (3262633664).

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

3164208448 is a wasteful number, since it uses less digits than its factorization.

3164208448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 3164208448 is about 56251.2973005957. The cubic root of 3164208448 is about 1468.0979376188.

The spelling of 3164208448 in words is "three billion, one hundred sixty-four million, two hundred eight thousand, four hundred forty-eight".