3345687982080 has 624 divisors, whose sum is σ = 11787944103936. Its totient is φ = 877593231360.

The previous prime is 3345687982037. The next prime is 3345687982159. The reversal of 3345687982080 is 802897865433.

3345687982080 is a `hidden beast` number, since 3 + 3 + 456 + 87 + 9 + 8 + 20 + 80 = 666.

It is a super-2 number, since 2×3345687982080² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345687981999 and 3345687982017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5859348195 + ... + 5859348765.

It is an arithmetic number, because the mean of its divisors is an integer number (18890936064).

Almost surely, 2^{3345687982080} is an apocalyptic number.

3345687982080 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 3345687982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893972051968).

3345687982080 is an abundant number, since it is smaller than the sum of its proper divisors (8442256121856).

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

3345687982080 is a wasteful number, since it uses less digits than its factorization.

3345687982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3345687982080 in words is "three trillion, three hundred forty-five billion, six hundred eighty-seven million, nine hundred eighty-two thousand, eighty".