3208997630848 has 128 divisors (see below), whose sum is σ = 6672875904000. Its totient is φ = 1535446056960.

The previous prime is 3208997630837. The next prime is 3208997630911. The reversal of 3208997630848 is 8480367998023.

3208997630848 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 Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244973803 + ... + 244986901.

It is an arithmetic number, because the mean of its divisors is an integer number (52131843000).

Almost surely, 2^{3208997630848} 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 3208997630848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336437952000).

3208997630848 is an abundant number, since it is smaller than the sum of its proper divisors (3463878273152).

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

3208997630848 is a wasteful number, since it uses less digits than its factorization.

3208997630848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13828 (or 13816 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 67.

The spelling of 3208997630848 in words is "three trillion, two hundred eight billion, nine hundred ninety-seven million, six hundred thirty thousand, eight hundred forty-eight".