3135065472 has 864 divisors, whose sum is σ = 12666031560. Its totient is φ = 766402560.

The previous prime is 3135065471. The next prime is 3135065509. The reversal of 3135065472 is 2745605313.

3135065472 is a `hidden beast` number, since 31 + 3 + 506 + 54 + 72 = 666.

3135065472 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 is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135065471) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 184415608 + ... + 184415624.

Almost surely, 2^3135065472 is an apocalyptic number.

3135065472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333015780).

3135065472 is an abundant number, since it is smaller than the sum of its proper divisors (9530966088).

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

3135065472 is a wasteful number, since it uses less digits than its factorization.

3135065472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3135065472 is about 55991.6553782794. The cubic root of 3135065472 is about 1463.5768731505.

The spelling of 3135065472 in words is "three billion, one hundred thirty-five million, sixty-five thousand, four hundred seventy-two".