3311642880000 has 2880 divisors, whose sum is σ = 15357476534400. Its totient is φ = 698720256000.

The previous prime is 3311642879869. The next prime is 3311642880037. The reversal of 3311642880000 is 882461133.

3311642880000 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 642 + 8 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 254741759994 + ... + 254741760006.

It is an arithmetic number, because the mean of its divisors is an integer number (5332457130).

Almost surely, 2^{3311642880000} is an apocalyptic number.

3311642880000 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 3311642880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678738267200).

3311642880000 is an abundant number, since it is smaller than the sum of its proper divisors (12045833654400).

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

3311642880000 is an frugal number, since it uses more digits than its factorization.

3311642880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3311642880000 in words is "three trillion, three hundred eleven billion, six hundred forty-two million, eight hundred eighty thousand".