3241413648 has 120 divisors (see below), whose sum is σ = 9911865600. Its totient is φ = 980686080.

The previous prime is 3241413611. The next prime is 3241413653. The reversal of 3241413648 is 8463141423.

3241413648 is a `hidden beast` number, since 3 + 2 + 4 + 1 + 4 + 1 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1349953 + ... + 1352351.

It is an arithmetic number, because the mean of its divisors is an integer number (82598880).

Almost surely, 2^3241413648 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 3241413648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955932800).

3241413648 is an abundant number, since it is smaller than the sum of its proper divisors (6670451952).

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

3241413648 is a wasteful number, since it uses less digits than its factorization.

3241413648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3268 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3241413648 is about 56933.4141607545. The cubic root of 3241413648 is about 1479.9424204529.

The spelling of 3241413648 in words is "three billion, two hundred forty-one million, four hundred thirteen thousand, six hundred forty-eight".