3214413042304 has 64 divisors (see below), whose sum is σ = 6432934694400. Its totient is φ = 1599875343360.

The previous prime is 3214413042287. The next prime is 3214413042311. The reversal of 3214413042304 is 4032403144123.

It is a tau number, because it is divible by the number of its divisors (64).

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, 247122969 + ... + 247135975.

It is an arithmetic number, because the mean of its divisors is an integer number (100514604600).

Almost surely, 2^{3214413042304} 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 3214413042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216467347200).

3214413042304 is an abundant number, since it is smaller than the sum of its proper divisors (3218521652096).

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

3214413042304 is a wasteful number, since it uses less digits than its factorization.

3214413042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21681 (or 21669 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 3214413042304 its reverse (4032403144123), we get a palindrome (7246816186427).

The spelling of 3214413042304 in words is "three trillion, two hundred fourteen billion, four hundred thirteen million, forty-two thousand, three hundred four".