3428595648 has 224 divisors, whose sum is σ = 10589483520. Its totient is φ = 1085736960.

The previous prime is 3428595637. The next prime is 3428595679. The reversal of 3428595648 is 8465958243.

3428595648 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 595 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3428595594 and 3428595603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11167911 + ... + 11168217.

It is an arithmetic number, because the mean of its divisors is an integer number (47274480).

Almost surely, 2^3428595648 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 3428595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294741760).

3428595648 is an abundant number, since it is smaller than the sum of its proper divisors (7160887872).

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

3428595648 is a wasteful number, since it uses less digits than its factorization.

3428595648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 616 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 3428595648 is about 58554.2111892902. The cubic root of 3428595648 is about 1507.8984328398.

It can be divided in two parts, 3428595 and 648, that added together give a palindrome (3429243).

The spelling of 3428595648 in words is "three billion, four hundred twenty-eight million, five hundred ninety-five thousand, six hundred forty-eight".