3135440000 has 320 divisors, whose sum is σ = 9750628800. Its totient is φ = 975360000.

The previous prime is 3135439969. The next prime is 3135440003. The reversal of 3135440000 is 445313.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3135440003) 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, 6159746 + ... + 6160254.

It is an arithmetic number, because the mean of its divisors is an integer number (30470715).

Almost surely, 2^3135440000 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 3135440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875314400).

3135440000 is an abundant number, since it is smaller than the sum of its proper divisors (6615188800).

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

3135440000 is an equidigital number, since it uses as much as digits as its factorization.

3135440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3135440000 is about 55994.9997767658. Note that the first 3 decimals coincide. The cubic root of 3135440000 is about 1463.6351524962.

Adding to 3135440000 its reverse (445313), we get a palindrome (3135885313).

The spelling of 3135440000 in words is "three billion, one hundred thirty-five million, four hundred forty thousand".