349754112 has 180 divisors, whose sum is σ = 1059536016. Its totient is φ = 114739200.

The previous prime is 349754101. The next prime is 349754117. The reversal of 349754112 is 211457943.

349754112 is a `hidden beast` number, since 3 + 497 + 54 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (349754117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2094253 + ... + 2094419.

Almost surely, 2^349754112 is an apocalyptic number.

349754112 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 349754112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529768008).

349754112 is an abundant number, since it is smaller than the sum of its proper divisors (709781904).

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

349754112 is a wasteful number, since it uses less digits than its factorization.

349754112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 349754112 is about 18701.7141460348. The cubic root of 349754112 is about 704.5648015736.

It can be divided in two parts, 349754 and 112, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 349754112 in words is "three hundred forty-nine million, seven hundred fifty-four thousand, one hundred twelve".