345989664 has 192 divisors, whose sum is σ = 1057190400. Its totient is φ = 109983744.

The previous prime is 345989647. The next prime is 345989681. The reversal of 345989664 is 466989543.

It is an interprime number because it is at equal distance from previous prime (345989647) and next prime (345989681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 345989664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525404 + ... + 2525540.

It is an arithmetic number, because the mean of its divisors is an integer number (5506200).

Almost surely, 2^345989664 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 345989664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528595200).

345989664 is an abundant number, since it is smaller than the sum of its proper divisors (711200736).

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

345989664 is a wasteful number, since it uses less digits than its factorization.

345989664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 345989664 is about 18600.7974022621. The cubic root of 345989664 is about 702.0279045084.

The spelling of 345989664 in words is "three hundred forty-five million, nine hundred eighty-nine thousand, six hundred sixty-four".