346228992 has 180 divisors, whose sum is σ = 1053600240. Its totient is φ = 113052672.

The previous prime is 346228973. The next prime is 346228997. The reversal of 346228992 is 299822643.

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

It is not an unprimeable number, because it can be changed into a prime (346228997) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1223283 + ... + 1223565.

Almost surely, 2^346228992 is an apocalyptic number.

346228992 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 346228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526800120).

346228992 is an abundant number, since it is smaller than the sum of its proper divisors (707371248).

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

346228992 is an equidigital number, since it uses as much as digits as its factorization.

346228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 346228992 is about 18607.2295627264. The cubic root of 346228992 is about 702.1897361342.

The spelling of 346228992 in words is "three hundred forty-six million, two hundred twenty-eight thousand, nine hundred ninety-two".