343749672 has 96 divisors (see below), whose sum is σ = 1120017600. Its totient is φ = 93042432.

The previous prime is 343749671. The next prime is 343749677. The reversal of 343749672 is 276947343.

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 (343749671) 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 23 ways as a sum of consecutive naturals, for example, 8373 + ... + 27524.

It is an arithmetic number, because the mean of its divisors is an integer number (11666850).

Almost surely, 2^343749672 is an apocalyptic number.

It is an amenable number.

343749672 is an abundant number, since it is smaller than the sum of its proper divisors (776267928).

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

343749672 is a wasteful number, since it uses less digits than its factorization.

343749672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35935 (or 35928 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 343749672 is about 18540.4873722349. The cubic root of 343749672 is about 700.5096098592.

The spelling of 343749672 in words is "three hundred forty-three million, seven hundred forty-nine thousand, six hundred seventy-two".