3238966130400 has 5184 divisors, whose sum is σ = 17116004505600. Its totient is φ = 564350976000.

The previous prime is 3238966130399. The next prime is 3238966130417. The reversal of 3238966130400 is 40316698323.

3238966130400 is a `hidden beast` number, since 3 + 23 + 8 + 9 + 6 + 613 + 0 + 4 + 0 + 0 = 666.

3238966130400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 29715285546 + ... + 29715285654.

It is an arithmetic number, because the mean of its divisors is an integer number (3301698400).

Almost surely, 2^{3238966130400} is an apocalyptic number.

3238966130400 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 3238966130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558002252800).

3238966130400 is an abundant number, since it is smaller than the sum of its proper divisors (13877038375200).

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

3238966130400 is a wasteful number, since it uses less digits than its factorization.

3238966130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3238966130400 in words is "three trillion, two hundred thirty-eight billion, nine hundred sixty-six million, one hundred thirty thousand, four hundred".