3867368646780 has 288 divisors, whose sum is σ = 12848610640320. Its totient is φ = 937602293760.

The previous prime is 3867368646721. The next prime is 3867368646833. The reversal of 3867368646780 is 876468637683.

3867368646780 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 3 + 6 + 86 + 467 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3867368646699 and 3867368646708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15614710 + ... + 15860450.

It is an arithmetic number, because the mean of its divisors is an integer number (44613231390).

Almost surely, 2^{3867368646780} is an apocalyptic number.

3867368646780 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 3867368646780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424305320160).

3867368646780 is an abundant number, since it is smaller than the sum of its proper divisors (8981241993540).

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

3867368646780 is a wasteful number, since it uses less digits than its factorization.

3867368646780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245949 (or 245944 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 3867368646780 in words is "three trillion, eight hundred sixty-seven billion, three hundred sixty-eight million, six hundred forty-six thousand, seven hundred eighty".