3413187648 has 168 divisors, whose sum is σ = 11156018328. Its totient is φ = 988397568.

The previous prime is 3413187641. The next prime is 3413187667. The reversal of 3413187648 is 8467813143.

It can be written as a sum of positive squares in 4 ways, for example, as 705858624 + 2707329024 = 26568^2 + 52032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413187641) 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 23 ways as a sum of consecutive naturals, for example, 113890 + ... + 140702.

It is an arithmetic number, because the mean of its divisors is an integer number (66404871).

Almost surely, 2^3413187648 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 3413187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578009164).

3413187648 is an abundant number, since it is smaller than the sum of its proper divisors (7742830680).

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

3413187648 is a wasteful number, since it uses less digits than its factorization.

3413187648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26861 (or 26848 counting only the distinct ones).

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

The square root of 3413187648 is about 58422.4926547986. The cubic root of 3413187648 is about 1505.6362247881.

The spelling of 3413187648 in words is "three billion, four hundred thirteen million, one hundred eighty-seven thousand, six hundred forty-eight".