349675792928 has 576 divisors, whose sum is σ = 935652114432. Its totient is φ = 127008000000.

The previous prime is 349675792903. The next prime is 349675792937. The reversal of 349675792928 is 829297576943.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2315733653 + ... + 2315733803.

It is an arithmetic number, because the mean of its divisors is an integer number (1624396032).

Almost surely, 2^349675792928 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 349675792928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467826057216).

349675792928 is an abundant number, since it is smaller than the sum of its proper divisors (585976321504).

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

349675792928 is a wasteful number, since it uses less digits than its factorization.

349675792928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 71.

The spelling of 349675792928 in words is "three hundred forty-nine billion, six hundred seventy-five million, seven hundred ninety-two thousand, nine hundred twenty-eight".