3705580327680 has 3888 divisors, whose sum is σ = 18192405434112. Its totient is φ = 712754380800.

The previous prime is 3705580327667. The next prime is 3705580327717. The reversal of 3705580327680 is 867230855073.

3705580327680 is a `hidden beast` number, since 3 + 7 + 0 + 558 + 0 + 3 + 2 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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 (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 119534849265 + ... + 119534849295.

It is an arithmetic number, because the mean of its divisors is an integer number (4679116624).

Almost surely, 2^{3705580327680} is an apocalyptic number.

3705580327680 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 3705580327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096202717056).

3705580327680 is an abundant number, since it is smaller than the sum of its proper divisors (14486825106432).

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

3705580327680 is a wasteful number, since it uses less digits than its factorization.

3705580327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 3705580327680 in words is "three trillion, seven hundred five billion, five hundred eighty million, three hundred twenty-seven thousand, six hundred eighty".