3125289640 has 96 divisors (see below), whose sum is σ = 7748564040. Its totient is φ = 1133637120.

The previous prime is 3125289617. The next prime is 3125289641. The reversal of 3125289640 is 469825213.

It can be written as a sum of positive squares in 4 ways, for example, as 1903227876 + 1222061764 = 43626^2 + 34958^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3125289593 and 3125289602.

It is not an unprimeable number, because it can be changed into a prime (3125289641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3663454 + ... + 3664306.

Almost surely, 2^3125289640 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 3125289640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874282020).

3125289640 is an abundant number, since it is smaller than the sum of its proper divisors (4623274400).

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

3125289640 is a wasteful number, since it uses less digits than its factorization.

3125289640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 3125289640 is about 55904.2899963858. The cubic root of 3125289640 is about 1462.0540363776.

The spelling of 3125289640 in words is "three billion, one hundred twenty-five million, two hundred eighty-nine thousand, six hundred forty".