3680122682880 has 480 divisors, whose sum is σ = 15332704358400. Its totient is φ = 796898082816.

The previous prime is 3680122682849. The next prime is 3680122682903. The reversal of 3680122682880 is 882862210863.

3680122682880 is a `hidden beast` number, since 368 + 0 + 12 + 268 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3680122682880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 2463841 + ... + 3664799.

It is an arithmetic number, because the mean of its divisors is an integer number (31943134080).

Almost surely, 2^{3680122682880} is an apocalyptic number.

3680122682880 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 3680122682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666352179200).

3680122682880 is an abundant number, since it is smaller than the sum of its proper divisors (11652581675520).

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

3680122682880 is a wasteful number, since it uses less digits than its factorization.

3680122682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201014 (or 1200995 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 3680122682880 in words is "three trillion, six hundred eighty billion, one hundred twenty-two million, six hundred eighty-two thousand, eight hundred eighty".