347299920 has 320 divisors, whose sum is σ = 1337057280. Its totient is φ = 82137600.

The previous prime is 347299859. The next prime is 347299921. The reversal of 347299920 is 29992743.

347299920 is a `hidden beast` number, since 3 + 472 + 99 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347299921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1116565 + ... + 1116875.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2^347299920 is an apocalyptic number.

347299920 is a gapful number since it is divisible by the number (30) 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 347299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668528640).

347299920 is an abundant number, since it is smaller than the sum of its proper divisors (989757360).

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

347299920 is a wasteful number, since it uses less digits than its factorization.

347299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 347299920 is about 18635.9845460335. The cubic root of 347299920 is about 702.9129767832.

The spelling of 347299920 in words is "three hundred forty-seven million, two hundred ninety-nine thousand, nine hundred twenty".