349673528064 has 144 divisors (see below), whose sum is σ = 1065925134848. Its totient is φ = 99687407616.

The previous prime is 349673528047. The next prime is 349673528107. The reversal of 349673528064 is 460825376943.

It is a junction number, because it is equal to n+sod(n) for n = 349673527995 and 349673528013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2385669 + ... + 2527995.

Almost surely, 2^349673528064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349673528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532962567424).

349673528064 is an abundant number, since it is smaller than the sum of its proper divisors (716251606784).

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

349673528064 is a wasteful number, since it uses less digits than its factorization.

349673528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142810 (or 142796 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 349673528064 in words is "three hundred forty-nine billion, six hundred seventy-three million, five hundred twenty-eight thousand, sixty-four".