3438532321 has 9 divisors (see below), whose sum is σ = 4000402899. Its totient is φ = 2946961584.

The previous prime is 3438532313. The next prime is 3438532333. The reversal of 3438532321 is 1232358343.

The square root of 3438532321 is 58639.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 493950625 + 2944581696 = 22225^2 + 54264^2 .

It is not a de Polignac number, because 3438532321 - 2³ = 3438532313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3438532351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 406285 + ... + 414661.

It is an arithmetic number, because the mean of its divisors is an integer number (444489211).

Almost surely, 2^3438532321 is an apocalyptic number.

3438532321 is the 58639-th square number.

3438532321 is the 29320-th centered octagonal number.

It is an amenable number.

3438532321 is a deficient number, since it is larger than the sum of its proper divisors (561870578).

3438532321 is an frugal number, since it uses more digits than its factorization.

3438532321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16768 (or 8384 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The cubic root of 3438532321 is about 1509.3537460845.

The spelling of 3438532321 in words is "three billion, four hundred thirty-eight million, five hundred thirty-two thousand, three hundred twenty-one".