3366873724680 has 320 divisors, whose sum is σ = 11377812061440. Its totient is φ = 892971952128.

The previous prime is 3366873724657. The next prime is 3366873724717. The reversal of 3366873724680 is 864273786633.

3366873724680 is a `hidden beast` number, since 3 + 3 + 66 + 87 + 37 + 2 + 468 + 0 = 666.

It is a super-2 number, since 2×3366873724680² (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 79 ways as a sum of consecutive naturals, for example, 1046586432 + ... + 1046589648.

It is an arithmetic number, because the mean of its divisors is an integer number (35555662692).

Almost surely, 2^{3366873724680} is an apocalyptic number.

3366873724680 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 3366873724680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688906030720).

3366873724680 is an abundant number, since it is smaller than the sum of its proper divisors (8010938336760).

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

3366873724680 is a wasteful number, since it uses less digits than its factorization.

3366873724680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 3366873724680 in words is "three trillion, three hundred sixty-six billion, eight hundred seventy-three million, seven hundred twenty-four thousand, six hundred eighty".