347044672 has 56 divisors (see below), whose sum is σ = 744093000. Its totient is φ = 159645696.

The previous prime is 347044661. The next prime is 347044673. The reversal of 347044672 is 276440743.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 345365056 = 1296^2 + 18584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347044673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373104 + ... + 374032.

It is an arithmetic number, because the mean of its divisors is an integer number (13287375).

Almost surely, 2^347044672 is an apocalyptic number.

347044672 is a gapful number since it is divisible by the number (32) 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 347044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372046500).

347044672 is an abundant number, since it is smaller than the sum of its proper divisors (397048328).

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

347044672 is a wasteful number, since it uses less digits than its factorization.

347044672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The square root of 347044672 is about 18629.1350309133. The cubic root of 347044672 is about 702.7407326667.

The spelling of 347044672 in words is "three hundred forty-seven million, forty-four thousand, six hundred seventy-two".