345086064 has 60 divisors (see below), whose sum is σ = 968438016. Its totient is φ = 114710016.

The previous prime is 345086059. The next prime is 345086101. The reversal of 345086064 is 460680543.

345086064 is a `hidden beast` number, since 3 + 45 + 0 + 8 + 606 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 52024 + ... + 58280.

Almost surely, 2^345086064 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 345086064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484219008).

345086064 is an abundant number, since it is smaller than the sum of its proper divisors (623351952).

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

345086064 is a wasteful number, since it uses less digits than its factorization.

345086064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6654 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 345086064 is about 18576.4922415401. The cubic root of 345086064 is about 701.4162239523.

The spelling of 345086064 in words is "three hundred forty-five million, eighty-six thousand, sixty-four".