3268930615680 has 128 divisors (see below), whose sum is σ = 10434799756800. Its totient is φ = 870452951040.

The previous prime is 3268930615673. The next prime is 3268930615681. The reversal of 3268930615680 is 865160398623.

It is a happy number.

3268930615680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3268930615680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268930615681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94761 + ... + 2558679.

It is an arithmetic number, because the mean of its divisors is an integer number (81521873100).

Almost surely, 2^{3268930615680} is an apocalyptic number.

3268930615680 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 3268930615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217399878400).

3268930615680 is an abundant number, since it is smaller than the sum of its proper divisors (7165869141120).

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

3268930615680 is a wasteful number, since it uses less digits than its factorization.

3268930615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464632 (or 2464620 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 3268930615680 in words is "three trillion, two hundred sixty-eight billion, nine hundred thirty million, six hundred fifteen thousand, six hundred eighty".