3297481889760 has 288 divisors, whose sum is σ = 11860732552032. Its totient is φ = 864912660480.

The previous prime is 3297481889753. The next prime is 3297481889831. The reversal of 3297481889760 is 679881847923.

3297481889760 is a `hidden beast` number, since 3 + 2 + 9 + 7 + 481 + 8 + 89 + 7 + 60 = 666.

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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676502 + ... + 3066858.

It is an arithmetic number, because the mean of its divisors is an integer number (41183099139).

Almost surely, 2^{3297481889760} is an apocalyptic number.

3297481889760 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 3297481889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930366276016).

3297481889760 is an abundant number, since it is smaller than the sum of its proper divisors (8563250662272).

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

3297481889760 is a wasteful number, since it uses less digits than its factorization.

3297481889760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390448 (or 1390428 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 3297481889760 in words is "three trillion, two hundred ninety-seven billion, four hundred eighty-one million, eight hundred eighty-nine thousand, seven hundred sixty".