349995447216576 has 252 divisors, whose sum is σ = 1217921973557328. Its totient is φ = 94116422467584.

The previous prime is 349995447216551. The next prime is 349995447216601. The reversal of 349995447216576 is 675612744599943.

349995447216576 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 9 + 5 + 447 + 2 + 165 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (349995447216551) and next prime (349995447216601).

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 349995447216495 and 349995447216504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149015421 + ... + 151345916.

Almost surely, 2^{349995447216576} is an apocalyptic number.

349995447216576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349995447216576 is an abundant number, since it is smaller than the sum of its proper divisors (867926526340752).

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

349995447216576 is a wasteful number, since it uses less digits than its factorization.

349995447216576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300361396 (or 300361366 counting only the distinct ones).

The product of its digits is 12345177600, while the sum is 81.

The spelling of 349995447216576 in words is "three hundred forty-nine trillion, nine hundred ninety-five billion, four hundred forty-seven million, two hundred sixteen thousand, five hundred seventy-six".