3301717248 has 288 divisors, whose sum is σ = 10622259200. Its totient is φ = 1007769600.

The previous prime is 3301717247. The next prime is 3301717253. The reversal of 3301717248 is 8427171033.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301717247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4070763 + ... + 4071573.

Almost surely, 2^3301717248 is an apocalyptic number.

3301717248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301717248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311129600).

3301717248 is an abundant number, since it is smaller than the sum of its proper divisors (7320541952).

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

3301717248 is a wasteful number, since it uses less digits than its factorization.

3301717248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3301717248 is about 57460.5712467253. The cubic root of 3301717248 is about 1489.0637554803.

The spelling of 3301717248 in words is "three billion, three hundred one million, seven hundred seventeen thousand, two hundred forty-eight".