349764601 has 2 divisors, whose sum is σ = 349764602. Its totient is φ = 349764600.

The previous prime is 349764593. The next prime is 349764607. The reversal of 349764601 is 106467943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254721600 + 95043001 = 15960^2 + 9749^2 .

It is a cyclic number.

It is not a de Polignac number, because 349764601 - 2³ = 349764593 is a prime.

It is a super-3 number, since 3×349764601³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (349764607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174882300 + 174882301.

It is an arithmetic number, because the mean of its divisors is an integer number (174882301).

Almost surely, 2^349764601 is an apocalyptic number.

It is an amenable number.

349764601 is a deficient number, since it is larger than the sum of its proper divisors (1).

349764601 is an equidigital number, since it uses as much as digits as its factorization.

349764601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 349764601 is about 18701.9945727722. The cubic root of 349764601 is about 704.5718447182.

The spelling of 349764601 in words is "three hundred forty-nine million, seven hundred sixty-four thousand, six hundred one".