349227936 has 144 divisors (see below), whose sum is σ = 1042763904. Its totient is φ = 114960384.

The previous prime is 349227911. The next prime is 349227959. The reversal of 349227936 is 639722943.

349227936 is a `hidden beast` number, since 349 + 2 + 279 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 349227891 and 349227900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754041 + ... + 754503.

It is an arithmetic number, because the mean of its divisors is an integer number (7241416).

Almost surely, 2^349227936 is an apocalyptic number.

349227936 is a gapful number since it is divisible by the number (36) 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 349227936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521381952).

349227936 is an abundant number, since it is smaller than the sum of its proper divisors (693535968).

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

349227936 is an equidigital number, since it uses as much as digits as its factorization.

349227936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 565 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 349227936 is about 18687.6412636801. The cubic root of 349227936 is about 704.2113045117.

The spelling of 349227936 in words is "three hundred forty-nine million, two hundred twenty-seven thousand, nine hundred thirty-six".