349167816 has 96 divisors (see below), whose sum is σ = 989946360. Its totient is φ = 111062016.

The previous prime is 349167757. The next prime is 349167821. The reversal of 349167816 is 618761943.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 347076900 + 2090916 = 18630^2 + 1446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139956 + ... + 142428.

Almost surely, 2^349167816 is an apocalyptic number.

349167816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349167816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494973180).

349167816 is an abundant number, since it is smaller than the sum of its proper divisors (640778544).

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

349167816 is a wasteful number, since it uses less digits than its factorization.

349167816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2568 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 349167816 is about 18686.0326447323. The cubic root of 349167816 is about 704.1708919244.

The spelling of 349167816 in words is "three hundred forty-nine million, one hundred sixty-seven thousand, eight hundred sixteen".