3247017000960 has 384 divisors, whose sum is σ = 10506486266640. Its totient is φ = 856292327424.

The previous prime is 3247017000959. The next prime is 3247017001069. The reversal of 3247017000960 is 690007107423.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 5627412192 + ... + 5627412768.

Almost surely, 2^{3247017000960} is an apocalyptic number.

3247017000960 is a gapful number since it is divisible by the number (30) 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 3247017000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253243133320).

3247017000960 is an abundant number, since it is smaller than the sum of its proper divisors (7259469265680).

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

3247017000960 is an frugal number, since it uses more digits than its factorization.

3247017000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 3247017000960 in words is "three trillion, two hundred forty-seven billion, seventeen million, nine hundred sixty", and thus it is an aban number.