347820327360 has 672 divisors, whose sum is σ = 1358815371264. Its totient is φ = 81572198400.

The previous prime is 347820327353. The next prime is 347820327383. The reversal of 347820327360 is 63723028743.

347820327360 is a `hidden beast` number, since 3 + 478 + 20 + 32 + 73 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118830217 + ... + 118833143.

Almost surely, 2^347820327360 is an apocalyptic number.

347820327360 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 347820327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679407685632).

347820327360 is an abundant number, since it is smaller than the sum of its proper divisors (1010995043904).

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

347820327360 is a wasteful number, since it uses less digits than its factorization.

347820327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 347820327360 in words is "three hundred forty-seven billion, eight hundred twenty million, three hundred twenty-seven thousand, three hundred sixty".