3801189712896 has 297 divisors, whose sum is σ = 11486820940959. Its totient is φ = 1210600968192.

The previous prime is 3801189712867. The next prime is 3801189712967. The reversal of 3801189712896 is 6982179811083.

The square root of 3801189712896 is 1949664.

It is a perfect power (a square), and thus also a powerful number.

3801189712896 is a `hidden beast` number, since 380 + 1 + 1 + 89 + 71 + 28 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4304857671 + ... + 4304858553.

Almost surely, 2^{3801189712896} is an apocalyptic number.

3801189712896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3801189712896 is the 1949664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3801189712896

3801189712896 is an abundant number, since it is smaller than the sum of its proper divisors (7685631228063).

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

3801189712896 is an frugal number, since it uses more digits than its factorization.

3801189712896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 3801189712896 in words is "three trillion, eight hundred one billion, one hundred eighty-nine million, seven hundred twelve thousand, eight hundred ninety-six".