3135540576 has 144 divisors (see below), whose sum is σ = 9632440944. Its totient is φ = 890459136.

The previous prime is 3135540517. The next prime is 3135540637. The reversal of 3135540576 is 6750455313.

It is a super-2 number, since 2×3135540576² = 19663229407484823552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811866 + ... + 815718.

It is an arithmetic number, because the mean of its divisors is an integer number (66891951).

Almost surely, 2^3135540576 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 3135540576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816220472).

3135540576 is an abundant number, since it is smaller than the sum of its proper divisors (6496900368).

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

3135540576 is a wasteful number, since it uses less digits than its factorization.

3135540576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 39.

The square root of 3135540576 is about 55995.8978497532. The cubic root of 3135540576 is about 1463.6508020802.

Adding to 3135540576 its reverse (6750455313), we get a palindrome (9885995889).

The spelling of 3135540576 in words is "three billion, one hundred thirty-five million, five hundred forty thousand, five hundred seventy-six".