349616853 has 48 divisors (see below), whose sum is σ = 555010560. Its totient is φ = 211248000.

The previous prime is 349616821. The next prime is 349616857. The reversal of 349616853 is 358616943.

It is not a de Polignac number, because 349616853 - 2⁵ = 349616821 is a prime.

Its product of digits (466560) is a multiple of the sum of its prime factors (810).

It is a junction number, because it is equal to n+sod(n) for n = 349616799 and 349616808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349616857) 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 47 ways as a sum of consecutive naturals, for example, 535075 + ... + 535727.

It is an arithmetic number, because the mean of its divisors is an integer number (11562720).

Almost surely, 2^349616853 is an apocalyptic number.

It is an amenable number.

349616853 is a deficient number, since it is larger than the sum of its proper divisors (205393707).

349616853 is a wasteful number, since it uses less digits than its factorization.

349616853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 807 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 349616853 is about 18698.0440955732. The cubic root of 349616853 is about 704.4726220391.

It can be divided in two parts, 34961 and 6853, that added together give a palindrome (41814).

The spelling of 349616853 in words is "three hundred forty-nine million, six hundred sixteen thousand, eight hundred fifty-three".