3867556090320 has 320 divisors, whose sum is σ = 14431226342400. Its totient is φ = 952012638720.

The previous prime is 3867556090301. The next prime is 3867556090379. The reversal of 3867556090320 is 230906557683.

It is a happy number.

3867556090320 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 5 + 5 + 609 + 0 + 3 + 20 = 666.

It is a super-2 number, since 2×3867556090320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4338025 + ... + 5153015.

It is an arithmetic number, because the mean of its divisors is an integer number (45097582320).

Almost surely, 2^{3867556090320} is an apocalyptic number.

3867556090320 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 3867556090320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215613171200).

3867556090320 is an abundant number, since it is smaller than the sum of its proper divisors (10563670252080).

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

3867556090320 is a wasteful number, since it uses less digits than its factorization.

3867556090320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815052 (or 815014 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3867556090320 in words is "three trillion, eight hundred sixty-seven billion, five hundred fifty-six million, ninety thousand, three hundred twenty".