346496112 has 60 divisors (see below), whose sum is σ = 972458344. Its totient is φ = 115171200.

The previous prime is 346496053. The next prime is 346496131. The reversal of 346496112 is 211694643.

346496112 is a `hidden beast` number, since 3 + 4 + 649 + 6 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×346496112² = 240119111262233088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50487 + ... + 56937.

Almost surely, 2^346496112 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 346496112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486229172).

346496112 is an abundant number, since it is smaller than the sum of its proper divisors (625962232).

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

346496112 is a wasteful number, since it uses less digits than its factorization.

346496112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838 (or 6829 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 346496112 is about 18614.4060340372. The cubic root of 346496112 is about 702.3702724363.

The spelling of 346496112 in words is "three hundred forty-six million, four hundred ninety-six thousand, one hundred twelve".