3705766304 has 48 divisors (see below), whose sum is σ = 7542528840. Its totient is φ = 1791037440.

The previous prime is 3705766303. The next prime is 3705766313. The reversal of 3705766304 is 4036675073.

It can be written as a sum of positive squares in 4 ways, for example, as 2802643600 + 903122704 = 52940^2 + 30052^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (3705766303) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 130052 + ... + 155964.

Almost surely, 2^3705766304 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 3705766304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771264420).

3705766304 is an abundant number, since it is smaller than the sum of its proper divisors (3836762536).

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

3705766304 is a wasteful number, since it uses less digits than its factorization.

3705766304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26073 (or 26065 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 41.

The square root of 3705766304 is about 60875.0055770018. The cubic root of 3705766304 is about 1547.4834368461.

The spelling of 3705766304 in words is "three billion, seven hundred five million, seven hundred sixty-six thousand, three hundred four".