3128462326080 has 2352 divisors, whose sum is σ = 14395822292880. Its totient is φ = 641102708736.

The previous prime is 3128462326079. The next prime is 3128462326111. The reversal of 3128462326080 is 806232648213.

3128462326080 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 4 + 6 + 2 + 32 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 152174889216 + 2976287436864 = 390096^2 + 1725192^2 .

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5498176036 + ... + 5498176604.

Almost surely, 2^{3128462326080} is an apocalyptic number.

3128462326080 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 3128462326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197911146440).

3128462326080 is an abundant number, since it is smaller than the sum of its proper divisors (11267359966800).

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

3128462326080 is a wasteful number, since it uses less digits than its factorization.

3128462326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3128462326080 in words is "three trillion, one hundred twenty-eight billion, four hundred sixty-two million, three hundred twenty-six thousand, eighty".