349952698624 has 27 divisors (see below), whose sum is σ = 698557288233. Its totient is φ = 174971616768.

The previous prime is 349952698621. The next prime is 349952698643. The reversal of 349952698624 is 426896259943.

The square root of 349952698624 is 591568.

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., 66894649600 + 283058049024 = 258640^2 + 532032^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 349952698624.

It is not an unprimeable number, because it can be changed into a prime (349952698621) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 9446602 + ... + 9483574.

Almost surely, 2^349952698624 is an apocalyptic number.

349952698624 is the 591568-th square number.

It is an amenable number.

349952698624 is a deficient number, since it is larger than the sum of its proper divisors (348604589609).

349952698624 is an frugal number, since it uses more digits than its factorization.

349952698624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73962 (or 36975 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 67.

It can be divided in two parts, 349952 and 698624, that added together give a 20-th power (1048576 = 2²⁰).

The spelling of 349952698624 in words is "three hundred forty-nine billion, nine hundred fifty-two million, six hundred ninety-eight thousand, six hundred twenty-four".