3389847648 has 192 divisors, whose sum is σ = 10080080640. Its totient is φ = 988416000.

The previous prime is 3389847557. The next prime is 3389847661. The reversal of 3389847648 is 8467489833.

It is a super-2 number, since 2×3389847648² = 22982134153302263808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3389847591 and 3389847600.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3945843 + ... + 3946701.

It is an arithmetic number, because the mean of its divisors is an integer number (52500420).

Almost surely, 2^3389847648 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 3389847648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040040320).

3389847648 is an abundant number, since it is smaller than the sum of its proper divisors (6690232992).

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

3389847648 is a wasteful number, since it uses less digits than its factorization.

3389847648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1013 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The square root of 3389847648 is about 58222.3981642804. The cubic root of 3389847648 is about 1502.1964337715.

The spelling of 3389847648 in words is "three billion, three hundred eighty-nine million, eight hundred forty-seven thousand, six hundred forty-eight".