3684315438720 has 1024 divisors, whose sum is σ = 16204271616000. Its totient is φ = 772056023040.

The previous prime is 3684315438563. The next prime is 3684315438737. The reversal of 3684315438720 is 278345134863.

It is a happy number.

3684315438720 is a `hidden beast` number, since 3 + 68 + 4 + 31 + 543 + 8 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71219584 + ... + 71271296.

It is an arithmetic number, because the mean of its divisors is an integer number (15824484000).

Almost surely, 2^{3684315438720} is an apocalyptic number.

3684315438720 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 3684315438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102135808000).

3684315438720 is an abundant number, since it is smaller than the sum of its proper divisors (12519956177280).

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

3684315438720 is a wasteful number, since it uses less digits than its factorization.

3684315438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51798 (or 51780 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 3684315438720 in words is "three trillion, six hundred eighty-four billion, three hundred fifteen million, four hundred thirty-eight thousand, seven hundred twenty".