347976 has 48 divisors (see below), whose sum is σ = 982800. Its totient is φ = 115344.

The previous prime is 347969. The next prime is 347981. The reversal of 347976 is 679743.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 347976.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 347976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1855 + ... + 2033.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2³⁴⁷⁹⁷⁶ is an apocalyptic number.

347976 is a gapful number since it is divisible by the number (36) 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 347976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

347976 is an abundant number, since it is smaller than the sum of its proper divisors (634824).

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

347976 is a wasteful number, since it uses less digits than its factorization.

347976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 347976 is about 589.8949058943. The cubic root of 347976 is about 70.3368795459.

The spelling of 347976 in words is "three hundred forty-seven thousand, nine hundred seventy-six".