3427430144 has 72 divisors (see below), whose sum is σ = 6973555680. Its totient is φ = 1680896000.

The previous prime is 3427430143. The next prime is 3427430147. The reversal of 3427430144 is 4410347243.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3427430144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427430141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4888994 + ... + 4889694.

It is an arithmetic number, because the mean of its divisors is an integer number (96854940).

Almost surely, 2^3427430144 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 3427430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486777840).

3427430144 is an abundant number, since it is smaller than the sum of its proper divisors (3546125536).

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

3427430144 is an equidigital number, since it uses as much as digits as its factorization.

3427430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 3427430144 is about 58544.2579934190. The cubic root of 3427430144 is about 1507.7275503547.

Adding to 3427430144 its reverse (4410347243), we get a palindrome (7837777387).

The spelling of 3427430144 in words is "three billion, four hundred twenty-seven million, four hundred thirty thousand, one hundred forty-four".