3684782914560 has 2112 divisors, whose sum is σ = 15179844556800. Its totient is φ = 846108426240.

The previous prime is 3684782914543. The next prime is 3684782914583. The reversal of 3684782914560 is 654192874863.

3684782914560 is a `hidden beast` number, since 3 + 6 + 8 + 47 + 8 + 29 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33805347786 + ... + 33805347894.

It is an arithmetic number, because the mean of its divisors is an integer number (7187426400).

It is a 1-persistent number, because it is pandigital, but 2⋅3684782914560 = 7369565829120 is not.

Almost surely, 2^{3684782914560} is an apocalyptic number.

3684782914560 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 3684782914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589922278400).

3684782914560 is an abundant number, since it is smaller than the sum of its proper divisors (11495061642240).

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

3684782914560 is a wasteful number, since it uses less digits than its factorization.

3684782914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3684782914560 in words is "three trillion, six hundred eighty-four billion, seven hundred eighty-two million, nine hundred fourteen thousand, five hundred sixty".