349209792 has 280 divisors, whose sum is σ = 1115275392. Its totient is φ = 107827200.

The previous prime is 349209769. The next prime is 349209799. The reversal of 349209792 is 297902943.

It is not an unprimeable number, because it can be changed into a prime (349209799) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6588838 + ... + 6588890.

Almost surely, 2^349209792 is an apocalyptic number.

349209792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349209792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557637696).

349209792 is an abundant number, since it is smaller than the sum of its proper divisors (766065600).

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

349209792 is a wasteful number, since it uses less digits than its factorization.

349209792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 349209792 is about 18687.1558028503. The cubic root of 349209792 is about 704.1991086267.

The spelling of 349209792 in words is "three hundred forty-nine million, two hundred nine thousand, seven hundred ninety-two".