3684731974560 has 2304 divisors, whose sum is σ = 17061584117760. Its totient is φ = 701984931840.

The previous prime is 3684731974513. The next prime is 3684731974571. The reversal of 3684731974560 is 654791374863.

It is a happy number.

3684731974560 is a `hidden beast` number, since 3 + 68 + 4 + 7 + 3 + 1 + 9 + 7 + 4 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15814300204 + ... + 15814300436.

It is an arithmetic number, because the mean of its divisors is an integer number (7405201440).

Almost surely, 2^{3684731974560} is an apocalyptic number.

3684731974560 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 3684731974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530792058880).

3684731974560 is an abundant number, since it is smaller than the sum of its proper divisors (13376852143200).

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

3684731974560 is a wasteful number, since it uses less digits than its factorization.

3684731974560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3684731974560 in words is "three trillion, six hundred eighty-four billion, seven hundred thirty-one million, nine hundred seventy-four thousand, five hundred sixty".