347880401 has 32 divisors (see below), whose sum is σ = 416835072. Its totient is φ = 286709760.

The previous prime is 347880389. The next prime is 347880409. The reversal of 347880401 is 104088743.

It is a happy number.

It is not a de Polignac number, because 347880401 - 2¹⁰ = 347879377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (347880409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947720 + ... + 948086.

It is an arithmetic number, because the mean of its divisors is an integer number (13026096).

Almost surely, 2^347880401 is an apocalyptic number.

It is an amenable number.

347880401 is a deficient number, since it is larger than the sum of its proper divisors (68954671).

347880401 is a wasteful number, since it uses less digits than its factorization.

347880401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 347880401 is about 18651.5522410335. The cubic root of 347880401 is about 703.3043776903.

The spelling of 347880401 in words is "three hundred forty-seven million, eight hundred eighty thousand, four hundred one".