347079040 has 128 divisors (see below), whose sum is σ = 1034622720. Its totient is φ = 108165120.

The previous prime is 347079017. The next prime is 347079043. The reversal of 347079040 is 40970743.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 347078987 and 347079005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347079043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45759 + ... + 52801.

It is an arithmetic number, because the mean of its divisors is an integer number (8082990).

Almost surely, 2^347079040 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 347079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517311360).

347079040 is an abundant number, since it is smaller than the sum of its proper divisors (687543680).

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

347079040 is a wasteful number, since it uses less digits than its factorization.

347079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 347079040 is about 18630.0574341573. The cubic root of 347079040 is about 702.7639294847.

The spelling of 347079040 in words is "three hundred forty-seven million, seventy-nine thousand, forty".