3373945159680 has 512 divisors, whose sum is σ = 12077901273600. Its totient is φ = 893583360000.

The previous prime is 3373945159639. The next prime is 3373945159687. The reversal of 3373945159680 is 869515493733.

3373945159680 is a `hidden beast` number, since 3 + 3 + 7 + 39 + 4 + 5 + 1 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×3373945159680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3373945159687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667973155 + ... + 667978205.

It is an arithmetic number, because the mean of its divisors is an integer number (23589650925).

Almost surely, 2^{3373945159680} is an apocalyptic number.

3373945159680 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 3373945159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038950636800).

3373945159680 is an abundant number, since it is smaller than the sum of its proper divisors (8703956113920).

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

3373945159680 is an equidigital number, since it uses as much as digits as its factorization.

3373945159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 3373945159680 in words is "three trillion, three hundred seventy-three billion, nine hundred forty-five million, one hundred fifty-nine thousand, six hundred eighty".