3940700625 has 135 divisors (see below), whose sum is σ = 7632020253. Its totient is φ = 2033910000.

The previous prime is 3940700591. The next prime is 3940700639. The reversal of 3940700625 is 5260070493.

The square root of 3940700625 is 62775.

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

3940700625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 308950929 + 3631749696 = 17577^2 + 60264^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3940700625 - 2¹³ = 3940692433 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3940700625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 127119360 + ... + 127119390.

Almost surely, 2^3940700625 is an apocalyptic number.

3940700625 is the 62775-th square number.

3940700625 is the 31388-th centered octagonal number.

It is an amenable number.

3940700625 is a deficient number, since it is larger than the sum of its proper divisors (3691319628).

3940700625 is an frugal number, since it uses more digits than its factorization.

3940700625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 3940700625 is about 1579.5176417052.

Multiplying 3940700625 by its sum of digits (36), we get a square (141865222500 = 376650²).

The spelling of 3940700625 in words is "three billion, nine hundred forty million, seven hundred thousand, six hundred twenty-five".