3135752256 has 168 divisors, whose sum is σ = 10394045760. Its totient is φ = 826979328.

The previous prime is 3135752209. The next prime is 3135752317. The reversal of 3135752256 is 6522575313.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3135752256² = 19665884422018179072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 109485 + ... + 135123.

It is an arithmetic number, because the mean of its divisors is an integer number (61869320).

Almost surely, 2^3135752256 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 3135752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197022880).

3135752256 is an abundant number, since it is smaller than the sum of its proper divisors (7258293504).

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

3135752256 is a wasteful number, since it uses less digits than its factorization.

3135752256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25681 (or 25664 counting only the distinct ones).

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

The square root of 3135752256 is about 55997.7879563113. The cubic root of 3135752256 is about 1463.6837383073.

The spelling of 3135752256 in words is "three billion, one hundred thirty-five million, seven hundred fifty-two thousand, two hundred fifty-six".