3804310728144 has 30 divisors (see below), whose sum is σ = 10646786274306. Its totient is φ = 1268103576000.

The previous prime is 3804310728133. The next prime is 3804310728157. The reversal of 3804310728144 is 4418270134083.

3804310728144 is a `hidden beast` number, since 3 + 8 + 0 + 431 + 0 + 72 + 8 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2775262791744 + 1029047936400 = 1665912^2 + 1014420^2 .

It is a super-4 number, since 4×3804310728144⁴ (a number of 51 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3804310728144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13209412107 + ... + 13209412394.

Almost surely, 2^{3804310728144} is an apocalyptic number.

It is an amenable number.

3804310728144 is an abundant number, since it is smaller than the sum of its proper divisors (6842475546162).

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

3804310728144 is a wasteful number, since it uses less digits than its factorization.

3804310728144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26418824515 (or 26418824506 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 3804310728144 in words is "three trillion, eight hundred four billion, three hundred ten million, seven hundred twenty-eight thousand, one hundred forty-four".