3161144448 has 384 divisors, whose sum is σ = 11846606400. Its totient is φ = 820592640.

The previous prime is 3161144447. The next prime is 3161144479. The reversal of 3161144448 is 8444411613.

It is a happy number.

3161144448 is a `hidden beast` number, since 31 + 611 + 4 + 4 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3161144448² = 19985668442242449408, which contains 22 as substring.

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

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 (3161144443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1861936 + ... + 1863632.

Almost surely, 2^3161144448 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 3161144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923303200).

3161144448 is an abundant number, since it is smaller than the sum of its proper divisors (8685461952).

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

3161144448 is a wasteful number, since it uses less digits than its factorization.

3161144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1720 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3161144448 is about 56224.0557768648. The cubic root of 3161144448 is about 1467.6239165096.

The spelling of 3161144448 in words is "three billion, one hundred sixty-one million, one hundred forty-four thousand, four hundred forty-eight".