3349980336640 has 320 divisors, whose sum is σ = 9672564844800. Its totient is φ = 1087000805376.

The previous prime is 3349980336629. The next prime is 3349980336667. The reversal of 3349980336640 is 466330899433.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3349980336640² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373502076 + ... + 373511044.

It is an arithmetic number, because the mean of its divisors is an integer number (30226765140).

Almost surely, 2^{3349980336640} 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 3349980336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836282422400).

3349980336640 is an abundant number, since it is smaller than the sum of its proper divisors (6322584508160).

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

3349980336640 is a wasteful number, since it uses less digits than its factorization.

3349980336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115 (or 10099 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 58.

The spelling of 3349980336640 in words is "three trillion, three hundred forty-nine billion, nine hundred eighty million, three hundred thirty-six thousand, six hundred forty".