3451432120 has 128 divisors (see below), whose sum is σ = 8211456000. Its totient is φ = 1303948800.

The previous prime is 3451432097. The next prime is 3451432147. The reversal of 3451432120 is 212341543.

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 31 ways as a sum of consecutive naturals, for example, 17343781 + ... + 17343979.

It is an arithmetic number, because the mean of its divisors is an integer number (64152000).

Almost surely, 2^3451432120 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 3451432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105728000).

3451432120 is an abundant number, since it is smaller than the sum of its proper divisors (4760023880).

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

3451432120 is a wasteful number, since it uses less digits than its factorization.

3451432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3451432120 is about 58748.8903724998. The cubic root of 3451432120 is about 1511.2388587614.

Adding to 3451432120 its reverse (212341543), we get a palindrome (3663773663).

The spelling of 3451432120 in words is "three billion, four hundred fifty-one million, four hundred thirty-two thousand, one hundred twenty".