3705825202704 has 135 divisors (see below), whose sum is σ = 10553806887663. Its totient is φ = 1213891589952.

The previous prime is 3705825202687. The next prime is 3705825202711. The reversal of 3705825202704 is 4072025285073.

The square root of 3705825202704 is 1925052.

It is a perfect power (a square), and thus also a powerful number.

3705825202704 is a `hidden beast` number, since 3 + 7 + 0 + 58 + 2 + 520 + 2 + 70 + 4 = 666.

It is a super-2 number, since 2×3705825202704² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3705825202704.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1362935457 + ... + 1362938175.

Almost surely, 2^{3705825202704} is an apocalyptic number.

3705825202704 is the 1925052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3705825202704

3705825202704 is an abundant number, since it is smaller than the sum of its proper divisors (6847981684959).

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

3705825202704 is an frugal number, since it uses more digits than its factorization.

3705825202704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

It can be divided in two parts, 3705825 and 202704, that added together give a square (3908529 = 1977²).

The spelling of 3705825202704 in words is "three trillion, seven hundred five billion, eight hundred twenty-five million, two hundred two thousand, seven hundred four".