3460786128 has 80 divisors (see below), whose sum is σ = 10102180800. Its totient is φ = 1134034560.

The previous prime is 3460786127. The next prime is 3460786129. The reversal of 3460786128 is 8216870643.

3460786128 is a `hidden beast` number, since 34 + 607 + 8 + 6 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3460786127) and next prime (3460786129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460786123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42403 + ... + 93378.

It is an arithmetic number, because the mean of its divisors is an integer number (126277260).

Almost surely, 2^3460786128 is an apocalyptic number.

It is an amenable number.

3460786128 is an abundant number, since it is smaller than the sum of its proper divisors (6641394672).

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

3460786128 is a wasteful number, since it uses less digits than its factorization.

3460786128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135857 (or 135845 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3460786128 is about 58828.4465883640. The cubic root of 3460786128 is about 1512.6028712036.

The spelling of 3460786128 in words is "three billion, four hundred sixty million, seven hundred eighty-six thousand, one hundred twenty-eight".