3135407088 has 80 divisors (see below), whose sum is σ = 8858361600. Its totient is φ = 947735040.

The previous prime is 3135407059. The next prime is 3135407089. The reversal of 3135407088 is 8807045313.

3135407088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135407089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208693 + ... + 223211.

It is an arithmetic number, because the mean of its divisors is an integer number (110729520).

Almost surely, 2^3135407088 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 3135407088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429180800).

3135407088 is an abundant number, since it is smaller than the sum of its proper divisors (5722954512).

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

3135407088 is a wasteful number, since it uses less digits than its factorization.

3135407088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14950 (or 14944 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 3135407088 is about 55994.7058926110. The cubic root of 3135407088 is about 1463.6300313299.

The spelling of 3135407088 in words is "three billion, one hundred thirty-five million, four hundred seven thousand, eighty-eight".