3268407128 has 48 divisors (see below), whose sum is σ = 7237063440. Its totient is φ = 1355538240.

The previous prime is 3268407101. The next prime is 3268407133. The reversal of 3268407128 is 8217048623.

It is a super-2 number, since 2×3268407128² = 21364970308722416768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23450 + ... + 84182.

It is an arithmetic number, because the mean of its divisors is an integer number (150772155).

Almost surely, 2^3268407128 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 3268407128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618531720).

3268407128 is an abundant number, since it is smaller than the sum of its proper divisors (3968656312).

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

3268407128 is a wasteful number, since it uses less digits than its factorization.

3268407128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60808 (or 60773 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 3268407128 is about 57169.9845023593. The cubic root of 3268407128 is about 1484.0392350914.

The spelling of 3268407128 in words is "three billion, two hundred sixty-eight million, four hundred seven thousand, one hundred twenty-eight".