3211314400345 has 8 divisors (see below), whose sum is σ = 3853924735176. Its totient is φ = 2568819883776.

The previous prime is 3211314400321. The next prime is 3211314400361. The reversal of 3211314400345 is 5430044131123.

It can be written as a sum of positive squares in 4 ways, for example, as 890420591641 + 2320893808704 = 943621^2 + 1523448^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3211314400345 - 2¹¹ = 3211314398297 is a prime.

It is a super-2 number, since 2×3211314400345² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28893552 + ... + 29004481.

It is an arithmetic number, because the mean of its divisors is an integer number (481740591897).

Almost surely, 2^{3211314400345} is an apocalyptic number.

It is an amenable number.

3211314400345 is a deficient number, since it is larger than the sum of its proper divisors (642610334831).

3211314400345 is a wasteful number, since it uses less digits than its factorization.

3211314400345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57909131.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 3211314400345 its reverse (5430044131123), we get a palindrome (8641358531468).

The spelling of 3211314400345 in words is "three trillion, two hundred eleven billion, three hundred fourteen million, four hundred thousand, three hundred forty-five".