395105664 has 64 divisors (see below), whose sum is σ = 1083386880. Its totient is φ = 127449600.

The previous prime is 395105603. The next prime is 395105677. The reversal of 395105664 is 466501593.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×395105664² = 312216971449761792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4692 + ... + 28499.

It is an arithmetic number, because the mean of its divisors is an integer number (16927920).

Almost surely, 2^395105664 is an apocalyptic number.

It is an amenable number.

395105664 is an abundant number, since it is smaller than the sum of its proper divisors (688281216).

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

395105664 is a wasteful number, since it uses less digits than its factorization.

395105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33239 (or 33227 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 395105664 is about 19877.2650030129. The cubic root of 395105664 is about 733.7888108893.

The spelling of 395105664 in words is "three hundred ninety-five million, one hundred five thousand, six hundred sixty-four".