345812992 has 78 divisors (see below), whose sum is σ = 804913188. Its totient is φ = 148119552.

The previous prime is 345812959. The next prime is 345813001. The reversal of 345812992 is 299218543.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199843 + ... + 201565.

Almost surely, 2^345812992 is an apocalyptic number.

345812992 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 345812992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402456594).

345812992 is an abundant number, since it is smaller than the sum of its proper divisors (459100196).

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

345812992 is an equidigital number, since it uses as much as digits as its factorization.

345812992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1732 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 345812992 is about 18596.0477521435. The cubic root of 345812992 is about 701.9083924693.

It can be divided in two parts, 34581 and 2992, that added together give a palindrome (37573).

The spelling of 345812992 in words is "three hundred forty-five million, eight hundred twelve thousand, nine hundred ninety-two".