3314087003300 has 72 divisors (see below), whose sum is σ = 7303180519656. Its totient is φ = 1305126466560.

The previous prime is 3314087003281. The next prime is 3314087003309. The reversal of 3314087003300 is 33007804133.

It can be written as a sum of positive squares in 12 ways, for example, as 636098763364 + 2677988239936 = 797558^2 + 1636456^2 .

It is not an unprimeable number, because it can be changed into a prime (3314087003309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3658574 + ... + 4473626.

It is an arithmetic number, because the mean of its divisors is an integer number (101433062773).

Almost surely, 2^{3314087003300} 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 3314087003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651590259828).

3314087003300 is an abundant number, since it is smaller than the sum of its proper divisors (3989093516356).

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

3314087003300 is a wasteful number, since it uses less digits than its factorization.

3314087003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815697 (or 815690 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 3314087003300 in words is "three trillion, three hundred fourteen billion, eighty-seven million, three thousand, three hundred".