3135104064 has 63 divisors (see below), whose sum is σ = 8990063173. Its totient is φ = 1044586752.

The previous prime is 3135104053. The next prime is 3135104069. The reversal of 3135104064 is 4604015313.

The square root of 3135104064 is 55992.

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

3135104064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1073217600 + 2061886464 = 32760^2 + 45408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3135104069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1342642 + ... + 1344974.

Almost surely, 2^3135104064 is an apocalyptic number.

3135104064 is the 55992-nd square number.

It is an amenable number.

3135104064 is an abundant number, since it is smaller than the sum of its proper divisors (5854959109).

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

3135104064 is an frugal number, since it uses more digits than its factorization.

3135104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 3135104064 is about 1463.5828785676.

Adding to 3135104064 its reverse (4604015313), we get a palindrome (7739119377).

The spelling of 3135104064 in words is "three billion, one hundred thirty-five million, one hundred four thousand, sixty-four".