349739766544 has 45 divisors (see below), whose sum is σ = 788290087221. Its totient is φ = 149881374720.

The previous prime is 349739766529. The next prime is 349739766557. The reversal of 349739766544 is 445667937943.

The square root of 349739766544 is 591388.

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

It can be written as a sum of positive squares in only one way, i.e., 256250588944 + 93489177600 = 506212^2 + 305760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 349739766544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16548304 + ... + 16569424.

Almost surely, 2^349739766544 is an apocalyptic number.

349739766544 is the 591388-th square number.

It is an amenable number.

349739766544 is an abundant number, since it is smaller than the sum of its proper divisors (438550320677).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349739766544 is an frugal number, since it uses more digits than its factorization.

349739766544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42264 (or 21130 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 67.

The spelling of 349739766544 in words is "three hundred forty-nine billion, seven hundred thirty-nine million, seven hundred sixty-six thousand, five hundred forty-four".