3135035345 has 48 divisors (see below), whose sum is σ = 4213289520. Its totient is φ = 2236695552.

The previous prime is 3135035341. The next prime is 3135035347. The reversal of 3135035345 is 5435305313.

It can be written as a sum of positive squares in 24 ways, for example, as 797893009 + 2337142336 = 28247^2 + 48344^2 .

It is not a de Polignac number, because 3135035345 - 2² = 3135035341 is a prime.

It is a super-2 number, since 2×3135035345² = 19656893228798538050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3135035341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6158951 + ... + 6159459.

It is an arithmetic number, because the mean of its divisors is an integer number (87776865).

Almost surely, 2^3135035345 is an apocalyptic number.

It is an amenable number.

3135035345 is a deficient number, since it is larger than the sum of its proper divisors (1078254175).

3135035345 is a wasteful number, since it uses less digits than its factorization.

3135035345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 32.

The square root of 3135035345 is about 55991.3863464730. The cubic root of 3135035345 is about 1463.5721849633.

The spelling of 3135035345 in words is "three billion, one hundred thirty-five million, thirty-five thousand, three hundred forty-five".