3410065728 has 42 divisors (see below), whose sum is σ = 9774339354. Its totient is φ = 1136688384.

The previous prime is 3410065723. The next prime is 3410065759. The reversal of 3410065728 is 8275600143.

It can be written as a sum of positive squares in only one way, i.e., 1709987904 + 1700077824 = 41352^2 + 41232^2 .

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 = 3410065692 and 3410065701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410065723) 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 5 ways as a sum of consecutive naturals, for example, 2959551 + ... + 2960702.

Almost surely, 2^3410065728 is an apocalyptic number.

It is an amenable number.

3410065728 is an abundant number, since it is smaller than the sum of its proper divisors (6364273626).

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

3410065728 is a wasteful number, since it uses less digits than its factorization.

3410065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920271 (or 5920258 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3410065728 is about 58395.7680658453. The cubic root of 3410065728 is about 1505.1770343211.

The spelling of 3410065728 in words is "three billion, four hundred ten million, sixty-five thousand, seven hundred twenty-eight".