3680399126880 has 2304 divisors, whose sum is σ = 15977403187200. Its totient is φ = 753582735360.

The previous prime is 3680399126863. The next prime is 3680399126897. The reversal of 3680399126880 is 886219930863.

3680399126880 is a `hidden beast` number, since 36 + 80 + 399 + 1 + 2 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3680399126863) and next prime (3680399126897).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37942258992 + ... + 37942259088.

It is an arithmetic number, because the mean of its divisors is an integer number (6934636800).

Almost surely, 2^{3680399126880} is an apocalyptic number.

3680399126880 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 3680399126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988701593600).

3680399126880 is an abundant number, since it is smaller than the sum of its proper divisors (12297004060320).

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

3680399126880 is a wasteful number, since it uses less digits than its factorization.

3680399126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 3680399126880 in words is "three trillion, six hundred eighty billion, three hundred ninety-nine million, one hundred twenty-six thousand, eight hundred eighty".