349057637721 has 27 divisors (see below), whose sum is σ = 545997988029. Its totient is φ = 214790520672.

The previous prime is 349057637711. The next prime is 349057637749. The reversal of 349057637721 is 127736750943.

The square root of 349057637721 is 590811.

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

349057637721 is a `hidden beast` number, since 3 + 49 + 0 + 576 + 3 + 7 + 7 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11422265625 + 337635372096 = 106875^2 + 581064^2 .

It is not a de Polignac number, because 349057637721 - 2¹⁵ = 349057604953 is a prime.

It is a Smith number, since the sum of its digits (54) 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 (349057637701) 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, 23034055 + ... + 23049203.

Almost surely, 2^349057637721 is an apocalyptic number.

349057637721 is the 590811-st square number.

349057637721 is the 295406-th centered octagonal number.

It is an amenable number.

349057637721 is a deficient number, since it is larger than the sum of its proper divisors (196940350308).

349057637721 is an frugal number, since it uses more digits than its factorization.

349057637721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30330 (or 15165 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 349057637721 in words is "three hundred forty-nine billion, fifty-seven million, six hundred thirty-seven thousand, seven hundred twenty-one".