349267464 has 160 divisors (see below), whose sum is σ = 1204230720. Its totient is φ = 92098944.

The previous prime is 349267441. The next prime is 349267469. The reversal of 349267464 is 464762943.

It is a happy number.

349267464 is a `hidden beast` number, since 349 + 267 + 46 + 4 = 666.

It is a super-2 number, since 2×349267464² = 243975522817982592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (349267469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56007 + ... + 61929.

It is an arithmetic number, because the mean of its divisors is an integer number (7526442).

Almost surely, 2^349267464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349267464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602115360).

349267464 is an abundant number, since it is smaller than the sum of its proper divisors (854963256).

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

349267464 is a wasteful number, since it uses less digits than its factorization.

349267464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5948 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 349267464 is about 18688.6988311118. The cubic root of 349267464 is about 704.2378726557.

The spelling of 349267464 in words is "three hundred forty-nine million, two hundred sixty-seven thousand, four hundred sixty-four".