345630064 has 60 divisors (see below), whose sum is σ = 761289816. Its totient is φ = 151092864.

The previous prime is 345630053. The next prime is 345630113. The reversal of 345630064 is 460036543.

345630064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×345630064² = 238920282281288192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72787 + ... + 77389.

Almost surely, 2^345630064 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 345630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380644908).

345630064 is an abundant number, since it is smaller than the sum of its proper divisors (415659752).

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

345630064 is a wasteful number, since it uses less digits than its factorization.

345630064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 345630064 is about 18591.1286370677. The cubic root of 345630064 is about 701.7846055786.

The spelling of 345630064 in words is "three hundred forty-five million, six hundred thirty thousand, sixty-four".