3135531040 has 96 divisors (see below), whose sum is σ = 7768943280. Its totient is φ = 1194246144.

The previous prime is 3135531037. The next prime is 3135531041. The reversal of 3135531040 is 401355313.

It can be written as a sum of positive squares in 8 ways, for example, as 702674064 + 2432856976 = 26508^2 + 49324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3135530996 and 3135531014.

It is not an unprimeable number, because it can be changed into a prime (3135531041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334092 + ... + 343348.

Almost surely, 2^3135531040 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 3135531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884471640).

3135531040 is an abundant number, since it is smaller than the sum of its proper divisors (4633412240).

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

3135531040 is a wasteful number, since it uses less digits than its factorization.

3135531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 3135531040 is about 55995.8127005940. The cubic root of 3135531040 is about 1463.6493182969.

Adding to 3135531040 its reverse (401355313), we get a palindrome (3536886353).

The spelling of 3135531040 in words is "three billion, one hundred thirty-five million, five hundred thirty-one thousand, forty".