3089664648000 has 1120 divisors, whose sum is σ = 13115461582080. Its totient is φ = 703373414400.

The previous prime is 3089664647969. The next prime is 3089664648029. The reversal of 3089664648000 is 8464669803.

3089664648000 is a `hidden beast` number, since 30 + 8 + 96 + 6 + 46 + 480 + 0 + 0 = 666.

3089664648000 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 (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1256470771 + ... + 1256473229.

Almost surely, 2^{3089664648000} is an apocalyptic number.

3089664648000 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 3089664648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557730791040).

3089664648000 is an abundant number, since it is smaller than the sum of its proper divisors (10025796934080).

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

3089664648000 is a wasteful number, since it uses less digits than its factorization.

3089664648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3089664648000 in words is "three trillion, eighty-nine billion, six hundred sixty-four million, six hundred forty-eight thousand".