347682412080 has 480 divisors, whose sum is σ = 1273658480640. Its totient is φ = 84672552960.

The previous prime is 347682412031. The next prime is 347682412087. The reversal of 347682412080 is 80214286743.

It is a happy number.

347682412080 is a `hidden beast` number, since 3 + 476 + 82 + 4 + 1 + 20 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (347682412087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120013192 + ... + 120016088.

It is an arithmetic number, because the mean of its divisors is an integer number (2653455168).

Almost surely, 2^347682412080 is an apocalyptic number.

347682412080 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 347682412080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636829240320).

347682412080 is an abundant number, since it is smaller than the sum of its proper divisors (925976068560).

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

347682412080 is a wasteful number, since it uses less digits than its factorization.

347682412080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 347682412080 in words is "three hundred forty-seven billion, six hundred eighty-two million, four hundred twelve thousand, eighty".