3441582144 has 672 divisors, whose sum is σ = 13633191936. Its totient is φ = 801239040.

The previous prime is 3441582143. The next prime is 3441582181. The reversal of 3441582144 is 4412851443.

3441582144 is a `hidden beast` number, since 34 + 4 + 1 + 582 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 3441582099 and 3441582108.

It is not an unprimeable number, because it can be changed into a prime (3441582143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27099009 + ... + 27099135.

It is an arithmetic number, because the mean of its divisors is an integer number (20287488).

Almost surely, 2^3441582144 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 3441582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816595968).

3441582144 is an abundant number, since it is smaller than the sum of its proper divisors (10191609792).

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

3441582144 is a wasteful number, since it uses less digits than its factorization.

3441582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 3441582144 is about 58664.9993096395. Note that the first 3 decimals coincide. The cubic root of 3441582144 is about 1509.7998571041.

It can be divided in two parts, 3441 and 582144, that added together give a palindrome (585585).

The spelling of 3441582144 in words is "three billion, four hundred forty-one million, five hundred eighty-two thousand, one hundred forty-four".