345624064 has 40 divisors (see below), whose sum is σ = 692611920. Its totient is φ = 172302336.

The previous prime is 345624061. The next prime is 345624091. The reversal of 345624064 is 460426543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345624061) 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 3 ways as a sum of consecutive naturals, for example, 220917 + ... + 222475.

It is an arithmetic number, because the mean of its divisors is an integer number (17315298).

Almost surely, 2^345624064 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 345624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346305960).

345624064 is an abundant number, since it is smaller than the sum of its proper divisors (346987856).

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

345624064 is an equidigital number, since it uses as much as digits as its factorization.

345624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 345624064 is about 18590.9672690799. The cubic root of 345624064 is about 701.7805446548.

The spelling of 345624064 in words is "three hundred forty-five million, six hundred twenty-four thousand, sixty-four".