349001536 has 28 divisors (see below), whose sum is σ = 745824772. Its totient is φ = 161077248.

The previous prime is 349001533. The next prime is 349001537. The reversal of 349001536 is 635100943.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 318265600 = 5544^2 + 17840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 349001498 and 349001507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349001533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208905 + ... + 210568.

It is an arithmetic number, because the mean of its divisors is an integer number (26636599).

Almost surely, 2^349001536 is an apocalyptic number.

It is an amenable number.

349001536 is an abundant number, since it is smaller than the sum of its proper divisors (396823236).

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

349001536 is a wasteful number, since it uses less digits than its factorization.

349001536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419498 (or 419488 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 349001536 is about 18681.5828023216. The cubic root of 349001536 is about 704.0590945573.

The spelling of 349001536 in words is "three hundred forty-nine million, one thousand, five hundred thirty-six".