3426431120 has 160 divisors (see below), whose sum is σ = 9629383680. Its totient is φ = 1107648000.

The previous prime is 3426431093. The next prime is 3426431123. The reversal of 3426431120 is 211346243.

It is a self number, because there is not a number n which added to its sum of digits gives 3426431120.

It is not an unprimeable number, because it can be changed into a prime (3426431123) 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 31 ways as a sum of consecutive naturals, for example, 2669999 + ... + 2671281.

It is an arithmetic number, because the mean of its divisors is an integer number (60183648).

Almost surely, 2^3426431120 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 3426431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814691840).

3426431120 is an abundant number, since it is smaller than the sum of its proper divisors (6202952560).

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

3426431120 is a wasteful number, since it uses less digits than its factorization.

3426431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3426431120 is about 58535.7251599397. The cubic root of 3426431120 is about 1507.5810458001.

Adding to 3426431120 its reverse (211346243), we get a palindrome (3637777363).

The spelling of 3426431120 in words is "three billion, four hundred twenty-six million, four hundred thirty-one thousand, one hundred twenty".