3766735760 has 160 divisors (see below), whose sum is σ = 9592957440. Its totient is φ = 1371009024.

The previous prime is 3766735759. The next prime is 3766735813. The reversal of 3766735760 is 675376673.

It is a junction number, because it is equal to n+sod(n) for n = 3766735699 and 3766735708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3894797 + ... + 3895763.

It is an arithmetic number, because the mean of its divisors is an integer number (59955984).

Almost surely, 2^3766735760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3766735760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796478720).

3766735760 is an abundant number, since it is smaller than the sum of its proper divisors (5826221680).

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

3766735760 is a wasteful number, since it uses less digits than its factorization.

3766735760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 50.

The square root of 3766735760 is about 61373.7383577048. The cubic root of 3766735760 is about 1555.9240187322.

The spelling of 3766735760 in words is "three billion, seven hundred sixty-six million, seven hundred thirty-five thousand, seven hundred sixty".