347778401 has 8 divisors (see below), whose sum is σ = 369498024. Its totient is φ = 326199040.

The previous prime is 347778397. The next prime is 347778437. The reversal of 347778401 is 104877743.

347778401 = 4515² + 4516² + ... + 4531².

It can be written as a sum of positive squares in 4 ways, for example, as 105042001 + 242736400 = 10249^2 + 15580^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 347778401 - 2² = 347778397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (347778601) 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, 29930 + ... + 39891.

It is an arithmetic number, because the mean of its divisors is an integer number (46187253).

Almost surely, 2^347778401 is an apocalyptic number.

It is an amenable number.

347778401 is a deficient number, since it is larger than the sum of its proper divisors (21719623).

347778401 is a wasteful number, since it uses less digits than its factorization.

347778401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70131.

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 347778401 is about 18648.8176837032. The cubic root of 347778401 is about 703.2356337018.

The spelling of 347778401 in words is "three hundred forty-seven million, seven hundred seventy-eight thousand, four hundred one".