347264064 has 224 divisors, whose sum is σ = 1228953600. Its totient is φ = 93934080.

The previous prime is 347264017. The next prime is 347264069. The reversal of 347264064 is 460462743.

347264064 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (347264069) 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 31 ways as a sum of consecutive naturals, for example, 229069 + ... + 230579.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2^347264064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

347264064 is an abundant number, since it is smaller than the sum of its proper divisors (881689536).

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

347264064 is a wasteful number, since it uses less digits than its factorization.

347264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 347264064 is about 18635.0225113897. The cubic root of 347264064 is about 702.8887858619. Note that the first 3 decimals are identical.

The spelling of 347264064 in words is "three hundred forty-seven million, two hundred sixty-four thousand, sixty-four".