3204127723104 has 1080 divisors, whose sum is σ = 12622756591368. Its totient is φ = 788314705920.

The previous prime is 3204127723087. The next prime is 3204127723129. The reversal of 3204127723104 is 4013277214023.

3204127723104 is a `hidden beast` number, since 3 + 2 + 0 + 412 + 7 + 7 + 231 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 504345592 + ... + 504351944.

Almost surely, 2^{3204127723104} 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 3204127723104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311378295684).

3204127723104 is an abundant number, since it is smaller than the sum of its proper divisors (9418628868264).

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

3204127723104 is a wasteful number, since it uses less digits than its factorization.

3204127723104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 3204127723104 in words is "three trillion, two hundred four billion, one hundred twenty-seven million, seven hundred twenty-three thousand, one hundred four".