349176984 has 192 divisors, whose sum is σ = 1043539200. Its totient is φ = 96864768.

The previous prime is 349176953. The next prime is 349177001. The reversal of 349176984 is 489671943.

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, 1772374 + ... + 1772570.

It is an arithmetic number, because the mean of its divisors is an integer number (5435100).

Almost surely, 2^349176984 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 349176984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521769600).

349176984 is an abundant number, since it is smaller than the sum of its proper divisors (694362216).

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

349176984 is a wasteful number, since it uses less digits than its factorization.

349176984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 349176984 is about 18686.2779600433. The cubic root of 349176984 is about 704.1770549421.

The spelling of 349176984 in words is "three hundred forty-nine million, one hundred seventy-six thousand, nine hundred eighty-four".