346616164320 has 96 divisors (see below), whose sum is σ = 1094692257792. Its totient is φ = 92189594112.

The previous prime is 346616164319. The next prime is 346616164331. The reversal of 346616164320 is 23461616643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×346616164320⁴ (a number of 47 digits) contains 4444 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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758872 + ... + 1126551.

It is an arithmetic number, because the mean of its divisors is an integer number (11403044352).

Almost surely, 2^346616164320 is an apocalyptic number.

346616164320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346616164320 is an abundant number, since it is smaller than the sum of its proper divisors (748076093472).

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

346616164320 is a wasteful number, since it uses less digits than its factorization.

346616164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885824 (or 1885816 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 346616164320 in words is "three hundred forty-six billion, six hundred sixteen million, one hundred sixty-four thousand, three hundred twenty".