349248672 has 60 divisors (see below), whose sum is σ = 1027138266. Its totient is φ = 116415360.

The previous prime is 349248667. The next prime is 349248737. The reversal of 349248672 is 276842943.

349248672 is a `hidden beast` number, since 349 + 248 + 67 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 349091856 + 156816 = 18684^2 + 396^2 .

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 64779 + ... + 69962.

Almost surely, 2^349248672 is an apocalyptic number.

349248672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349248672 is an abundant number, since it is smaller than the sum of its proper divisors (677889594).

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

349248672 is a wasteful number, since it uses less digits than its factorization.

349248672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134763 (or 134746 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 349248672 is about 18688.1960606154. The cubic root of 349248672 is about 704.2252421487.

The spelling of 349248672 in words is "three hundred forty-nine million, two hundred forty-eight thousand, six hundred seventy-two".