349767166320 has 240 divisors, whose sum is σ = 1379990862432. Its totient is φ = 78269552640.

The previous prime is 349767166303. The next prime is 349767166361. The reversal of 349767166320 is 23661767943.

It is a happy number.

349767166320 is a `hidden beast` number, since 3 + 497 + 6 + 71 + 6 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1595599 + ... + 1801518.

Almost surely, 2^349767166320 is an apocalyptic number.

349767166320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349767166320 is an abundant number, since it is smaller than the sum of its proper divisors (1030223696112).

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

349767166320 is a wasteful number, since it uses less digits than its factorization.

349767166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397160 (or 3397151 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 349767166320 in words is "three hundred forty-nine billion, seven hundred sixty-seven million, one hundred sixty-six thousand, three hundred twenty".