3309927776064 has 1344 divisors, whose sum is σ = 13089331200000. Its totient is φ = 800034693120.

The previous prime is 3309927776053. The next prime is 3309927776093. The reversal of 3309927776064 is 4606777299033.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3309927775992 and 3309927776010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1204046562 + ... + 1204049310.

Almost surely, 2^{3309927776064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3309927776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544665600000).

3309927776064 is an abundant number, since it is smaller than the sum of its proper divisors (9779403423936).

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

3309927776064 is a wasteful number, since it uses less digits than its factorization.

3309927776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 63.

The spelling of 3309927776064 in words is "three trillion, three hundred nine billion, nine hundred twenty-seven million, seven hundred seventy-six thousand, sixty-four".