3282261296640 has 1280 divisors, whose sum is σ = 12056014080000. Its totient is φ = 756767784960.

The previous prime is 3282261296603. The next prime is 3282261296711. The reversal of 3282261296640 is 466921622823.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16493775261 + ... + 16493775459.

It is an arithmetic number, because the mean of its divisors is an integer number (9418761000).

Almost surely, 2^{3282261296640} is an apocalyptic number.

3282261296640 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 3282261296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028007040000).

3282261296640 is an abundant number, since it is smaller than the sum of its proper divisors (8773752783360).

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

3282261296640 is a wasteful number, since it uses less digits than its factorization.

3282261296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 3282261296640 in words is "three trillion, two hundred eighty-two billion, two hundred sixty-one million, two hundred ninety-six thousand, six hundred forty".