3135340000 has 240 divisors, whose sum is σ = 8596748160. Its totient is φ = 1117440000.

The previous prime is 3135339953. The next prime is 3135340007. The reversal of 3135340000 is 435313.

It is a self number, because there is not a number n which added to its sum of digits gives 3135340000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135340007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8059806 + ... + 8060194.

It is an arithmetic number, because the mean of its divisors is an integer number (35819784).

Almost surely, 2^3135340000 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 3135340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298374080).

3135340000 is an abundant number, since it is smaller than the sum of its proper divisors (5461408160).

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

3135340000 is a wasteful number, since it uses less digits than its factorization.

3135340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 3135340000 is about 55994.1068327730. The cubic root of 3135340000 is about 1463.6195922057.

Adding to 3135340000 its reverse (435313), we get a palindrome (3135775313).

The spelling of 3135340000 in words is "three billion, one hundred thirty-five million, three hundred forty thousand".