3705336255625 has 45 divisors (see below), whose sum is σ = 4760998415481. Its totient is φ = 2882767680000.

The previous prime is 3705336255541. The next prime is 3705336255637. The reversal of 3705336255625 is 5265526335073.

The square root of 3705336255625 is 1924925.

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

It can be written as a sum of positive squares in 22 ways, for example, as 3696440747769 + 8895507856 = 1922613^2 + 94316^2 .

It is not a de Polignac number, because 3705336255625 - 2¹⁵ = 3705336222857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1780554585 + ... + 1780556665.

Almost surely, 2^{3705336255625} is an apocalyptic number.

3705336255625 is the 1924925-th square number.

3705336255625 is the 962463-rd centered octagonal number.

It is an amenable number.

3705336255625 is a deficient number, since it is larger than the sum of its proper divisors (1055662159856).

3705336255625 is an frugal number, since it uses more digits than its factorization.

3705336255625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 52.

The spelling of 3705336255625 in words is "three trillion, seven hundred five billion, three hundred thirty-six million, two hundred fifty-five thousand, six hundred twenty-five".