3134509056 has 208 divisors, whose sum is σ = 10615536000. Its totient is φ = 895352832.

The previous prime is 3134509031. The next prime is 3134509073. The reversal of 3134509056 is 6509054313.

It is a super-2 number, since 2×3134509056² = 19650294044292022272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3134509056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772120 + ... + 776168.

Almost surely, 2^3134509056 is an apocalyptic number.

3134509056 is a gapful number since it is divisible by the number (36) 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 3134509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307768000).

3134509056 is an abundant number, since it is smaller than the sum of its proper divisors (7481026944).

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

3134509056 is an equidigital number, since it uses as much as digits as its factorization.

3134509056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3134509056 is about 55986.6864173975. The cubic root of 3134509056 is about 1463.4902821070.

The spelling of 3134509056 in words is "three billion, one hundred thirty-four million, five hundred nine thousand, fifty-six".