3344132314000 has 80 divisors (see below), whose sum is σ = 8086555391616. Its totient is φ = 1337579568000.

The previous prime is 3344132313997. The next prime is 3344132314001. The reversal of 3344132314000 is 4132314433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3344132314000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3344132314000.

It is not an unprimeable number, because it can be changed into a prime (3344132314001) 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 15 ways as a sum of consecutive naturals, for example, 50188707 + ... + 50255293.

Almost surely, 2^{3344132314000} is an apocalyptic number.

It is an amenable number.

3344132314000 is an abundant number, since it is smaller than the sum of its proper divisors (4742423077616).

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

3344132314000 is a wasteful number, since it uses less digits than its factorization.

3344132314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91721 (or 91705 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3344132314000 its reverse (4132314433), we get a palindrome (3348264628433).

The spelling of 3344132314000 in words is "three trillion, three hundred forty-four billion, one hundred thirty-two million, three hundred fourteen thousand".