3735805680 has 60 divisors (see below), whose sum is σ = 12546083160. Its totient is φ = 996214656.

The previous prime is 3735805663. The next prime is 3735805721. The reversal of 3735805680 is 865085373.

3735805680 is a `hidden beast` number, since 3 + 7 + 3 + 5 + 80 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2593590 + ... + 2595029.

It is an arithmetic number, because the mean of its divisors is an integer number (209101386).

Almost surely, 2^3735805680 is an apocalyptic number.

3735805680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3735805680 is an abundant number, since it is smaller than the sum of its proper divisors (8810277480).

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

3735805680 is a wasteful number, since it uses less digits than its factorization.

3735805680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188638 (or 5188629 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3735805680 is about 61121.2375529161. The cubic root of 3735805680 is about 1551.6535499578.

The spelling of 3735805680 in words is "three billion, seven hundred thirty-five million, eight hundred five thousand, six hundred eighty".