3704127501321 has 81 divisors (see below), whose sum is σ = 5897459764287. Its totient is φ = 2239323390720.

The previous prime is 3704127501287. The next prime is 3704127501353. The reversal of 3704127501321 is 1231057214073.

The square root of 3704127501321 is 1924611.

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

3704127501321 is a `hidden beast` number, since 3 + 7 + 0 + 4 + 127 + 501 + 3 + 21 = 666.

3704127501321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 3523448097225 + 180679404096 = 1877085^2 + 425064^2 .

It is not a de Polignac number, because 3704127501321 - 2³³ = 3695537566729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3704127501421) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4578649165 + ... + 4578649973.

Almost surely, 2^{3704127501321} is an apocalyptic number.

3704127501321 is the 1924611-st square number.

3704127501321 is the 962306-th centered octagonal number.

It is an amenable number.

3704127501321 is a deficient number, since it is larger than the sum of its proper divisors (2193332262966).

3704127501321 is an frugal number, since it uses more digits than its factorization.

3704127501321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 3704127501321 by its sum of digits (36), we get a square (133348590047556 = 11547666²).

The spelling of 3704127501321 in words is "three trillion, seven hundred four billion, one hundred twenty-seven million, five hundred one thousand, three hundred twenty-one".