3681707554560 has 576 divisors, whose sum is σ = 13774091240448. Its totient is φ = 820567867392.

The previous prime is 3681707554549. The next prime is 3681707554621. The reversal of 3681707554560 is 654557071863.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3681707554560.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 777877954 + ... + 777882686.

It is an arithmetic number, because the mean of its divisors is an integer number (23913352848).

Almost surely, 2^{3681707554560} is an apocalyptic number.

3681707554560 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 3681707554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887045620224).

3681707554560 is an abundant number, since it is smaller than the sum of its proper divisors (10092383685888).

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

3681707554560 is a wasteful number, since it uses less digits than its factorization.

3681707554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 3681707554560 in words is "three trillion, six hundred eighty-one billion, seven hundred seven million, five hundred fifty-four thousand, five hundred sixty".