3727289723105 has 32 divisors (see below), whose sum is σ = 4850251486080. Its totient is φ = 2733397954560.

The previous prime is 3727289723083. The next prime is 3727289723117. The reversal of 3727289723105 is 5013279827273.

3727289723105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3727289723105 - 2²² = 3727285528801 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 6903026 + ... + 7423364.

It is an arithmetic number, because the mean of its divisors is an integer number (151570358940).

Almost surely, 2^{3727289723105} is an apocalyptic number.

It is an amenable number.

3727289723105 is a deficient number, since it is larger than the sum of its proper divisors (1122961762975).

3727289723105 is a wasteful number, since it uses less digits than its factorization.

3727289723105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521121.

The product of its (nonzero) digits is 8890560, while the sum is 56.

Adding to 3727289723105 its sum of digits (56), we get a square (3727289723161 = 1930619²).

The spelling of 3727289723105 in words is "three trillion, seven hundred twenty-seven billion, two hundred eighty-nine million, seven hundred twenty-three thousand, one hundred five".