3130835328 has 384 divisors, whose sum is σ = 10265149440. Its totient is φ = 945561600.

The previous prime is 3130835321. The next prime is 3130835329. The reversal of 3130835328 is 8235380313.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 3130835292 and 3130835301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130835321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16391713 + ... + 16391903.

It is an arithmetic number, because the mean of its divisors is an integer number (26732160).

Almost surely, 2^3130835328 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 3130835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132574720).

3130835328 is an abundant number, since it is smaller than the sum of its proper divisors (7134314112).

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

3130835328 is a wasteful number, since it uses less digits than its factorization.

3130835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3130835328 is about 55953.8678555826. The cubic root of 3130835328 is about 1462.9183087450.

The spelling of 3130835328 in words is "three billion, one hundred thirty million, eight hundred thirty-five thousand, three hundred twenty-eight".