3275129894400 has 5040 divisors, whose sum is σ = 16596313549200. Its totient is φ = 632073093120.

The previous prime is 3275129894389. The next prime is 3275129894461. The reversal of 3275129894400 is 44989215723.

3275129894400 is a `hidden beast` number, since 3 + 2 + 7 + 512 + 9 + 89 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 112935513586 + ... + 112935513614.

It is an arithmetic number, because the mean of its divisors is an integer number (3292919355).

Almost surely, 2^{3275129894400} is an apocalyptic number.

3275129894400 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 3275129894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298156774600).

3275129894400 is an abundant number, since it is smaller than the sum of its proper divisors (13321183654800).

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

3275129894400 is a wasteful number, since it uses less digits than its factorization.

3275129894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3275129894400 in words is "three trillion, two hundred seventy-five billion, one hundred twenty-nine million, eight hundred ninety-four thousand, four hundred".