349179936 has 96 divisors (see below), whose sum is σ = 1065415680. Its totient is φ = 98063616.

The previous prime is 349179907. The next prime is 349179959. The reversal of 349179936 is 639971943.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35245 + ... + 44051.

It is an arithmetic number, because the mean of its divisors is an integer number (11098080).

Almost surely, 2^349179936 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 349179936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532707840).

349179936 is an abundant number, since it is smaller than the sum of its proper divisors (716235744).

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

349179936 is a wasteful number, since it uses less digits than its factorization.

349179936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8878 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 51.

The square root of 349179936 is about 18686.3569483193. The cubic root of 349179936 is about 704.1790393463.

The spelling of 349179936 in words is "three hundred forty-nine million, one hundred seventy-nine thousand, nine hundred thirty-six".