3705115160880 has 1200 divisors, whose sum is σ = 15894104497920. Its totient is φ = 794847707136.

The previous prime is 3705115160833. The next prime is 3705115160977. The reversal of 3705115160880 is 880615115073.

3705115160880 is a `hidden beast` number, since 3 + 7 + 0 + 51 + 1 + 516 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 2585564644 + ... + 2585566076.

Almost surely, 2^{3705115160880} is an apocalyptic number.

3705115160880 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 3705115160880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947052248960).

3705115160880 is an abundant number, since it is smaller than the sum of its proper divisors (12188989337040).

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

3705115160880 is a wasteful number, since it uses less digits than its factorization.

3705115160880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 3705115160880 in words is "three trillion, seven hundred five billion, one hundred fifteen million, one hundred sixty thousand, eight hundred eighty".