3728118273 has 48 divisors (see below), whose sum is σ = 5587702848. Its totient is φ = 2192486400.

The previous prime is 3728118259. The next prime is 3728118281.

3728118273 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3728118273 - 2⁴ = 3728118257 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3728118473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11910765 + ... + 11911077.

It is an arithmetic number, because the mean of its divisors is an integer number (116410476).

Almost surely, 2^3728118273 is an apocalyptic number.

3728118273 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3728118273 is a deficient number, since it is larger than the sum of its proper divisors (1859584575).

3728118273 is a wasteful number, since it uses less digits than its factorization.

3728118273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 485 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 3728118273 is about 61058.3186224449. The cubic root of 3728118273 is about 1550.5885067380.

The spelling of 3728118273 in words is "three billion, seven hundred twenty-eight million, one hundred eighteen thousand, two hundred seventy-three".