3746535746409 has 27 divisors (see below), whose sum is σ = 5441475453687. Its totient is φ = 2484005826816.

The previous prime is 3746535746399. The next prime is 3746535746417. The reversal of 3746535746409 is 9046475356473.

It is a happy number.

The square root of 3746535746409 is 1935597.

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

3746535746409 is a `hidden beast` number, since 3 + 7 + 4 + 6 + 53 + 574 + 6 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 907742090025 + 2838793656384 = 952755^2 + 1684872^2 .

It is not a de Polignac number, because 3746535746409 - 2¹⁹ = 3746535222121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3746535746419) 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, 1120708992 + ... + 1120712334.

Almost surely, 2^{3746535746409} is an apocalyptic number.

3746535746409 is the 1935597-th square number.

3746535746409 is the 967799-th centered octagonal number.

It is an amenable number.

3746535746409 is a deficient number, since it is larger than the sum of its proper divisors (1694939707278).

3746535746409 is an frugal number, since it uses more digits than its factorization.

3746535746409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7078 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 63.

It can be divided in two parts, 3746535 and 746409, that added together give a palindrome (4492944).

The spelling of 3746535746409 in words is "three trillion, seven hundred forty-six billion, five hundred thirty-five million, seven hundred forty-six thousand, four hundred nine".