3748014688441 has 27 divisors (see below), whose sum is σ = 4017907186797. Its totient is φ = 3495913439040.

The previous prime is 3748014688333. The next prime is 3748014688489. The reversal of 3748014688441 is 1448864108473.

The square root of 3748014688441 is 1935979.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1016941149225 + 2731073539216 = 1008435^2 + 1652596^2 .

It is not a de Polignac number, because 3748014688441 - 2¹⁵ = 3748014655673 is a prime.

It is a super-2 number, since 2×3748014688441² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3748014680441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1825627171 + ... + 1825629223.

Almost surely, 2^{3748014688441} is an apocalyptic number.

3748014688441 is the 1935979-th square number.

3748014688441 is the 967990-th centered octagonal number.

It is an amenable number.

3748014688441 is a deficient number, since it is larger than the sum of its proper divisors (269892498356).

3748014688441 is an frugal number, since it uses more digits than its factorization.

3748014688441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 58.

The spelling of 3748014688441 in words is "three trillion, seven hundred forty-eight billion, fourteen million, six hundred eighty-eight thousand, four hundred forty-one".