3342609996480 has 2240 divisors, whose sum is σ = 13813482355200. Its totient is φ = 762023116800.

The previous prime is 3342609996457. The next prime is 3342609996491. The reversal of 3342609996480 is 846999062433.

3342609996480 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 60 + 9 + 9 + 96 + 480 = 666.

It is a super-2 number, since 2×3342609996480² (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 319 ways as a sum of consecutive naturals, for example, 33095148430 + ... + 33095148530.

Almost surely, 2^{3342609996480} is an apocalyptic number.

3342609996480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342609996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906741177600).

3342609996480 is an abundant number, since it is smaller than the sum of its proper divisors (10470872358720).

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

3342609996480 is a wasteful number, since it uses less digits than its factorization.

3342609996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 3342609996480 in words is "three trillion, three hundred forty-two billion, six hundred nine million, nine hundred ninety-six thousand, four hundred eighty".