349081376402304 has 384 divisors, whose sum is σ = 1290674053216800. Its totient is φ = 92065417371648.

The previous prime is 349081376402293. The next prime is 349081376402327. The reversal of 349081376402304 is 403204673180943.

It is a happy number.

349081376402304 is a `hidden beast` number, since 3 + 4 + 90 + 81 + 3 + 76 + 402 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×349081376402304³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77082157 + ... + 81485100.

Almost surely, 2^{349081376402304} is an apocalyptic number.

It is an amenable number.

349081376402304 is an abundant number, since it is smaller than the sum of its proper divisors (941592676814496).

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

349081376402304 is a wasteful number, since it uses less digits than its factorization.

349081376402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158567307 (or 158567282 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 349081376402304 in words is "three hundred forty-nine trillion, eighty-one billion, three hundred seventy-six million, four hundred two thousand, three hundred four".