346478112 has 72 divisors (see below), whose sum is σ = 988421616. Its totient is φ = 115126656.

The previous prime is 346478089. The next prime is 346478117. The reversal of 346478112 is 211874643.

346478112 is a `hidden beast` number, since 3 + 4 + 647 + 8 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (346478117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98203 + ... + 101669.

It is an arithmetic number, because the mean of its divisors is an integer number (13728078).

Almost surely, 2^346478112 is an apocalyptic number.

346478112 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 346478112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494210808).

346478112 is an abundant number, since it is smaller than the sum of its proper divisors (641943504).

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

346478112 is a wasteful number, since it uses less digits than its factorization.

346478112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3819 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 346478112 is about 18613.9225312668. The cubic root of 346478112 is about 702.3581098334.

The spelling of 346478112 in words is "three hundred forty-six million, four hundred seventy-eight thousand, one hundred twelve".