3965850625 has 45 divisors (see below), whose sum is σ = 5471094783. Its totient is φ = 2871660000.

The previous prime is 3965850617. The next prime is 3965850643. The reversal of 3965850625 is 5260585693.

The square root of 3965850625 is 62975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1079582449 + 2886268176 = 32857^2 + 53724^2 .

It is not a de Polignac number, because 3965850625 - 2³ = 3965850617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17318011 + ... + 17318239.

Almost surely, 2^3965850625 is an apocalyptic number.

3965850625 is the 62975-th square number.

3965850625 is the 31488-th centered octagonal number.

It is an amenable number.

3965850625 is a deficient number, since it is larger than the sum of its proper divisors (1505244158).

3965850625 is an frugal number, since it uses more digits than its factorization.

3965850625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The cubic root of 3965850625 is about 1582.8707389745.

Multiplying 3965850625 by its sum of digits (49), we get a square (194326680625 = 440825²).

The spelling of 3965850625 in words is "three billion, nine hundred sixty-five million, eight hundred fifty thousand, six hundred twenty-five".