345892032 has 168 divisors, whose sum is σ = 1073968896. Its totient is φ = 110170368.

The previous prime is 345891977. The next prime is 345892037. The reversal of 345892032 is 230298543.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345892037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 357213 + ... + 358179.

It is an arithmetic number, because the mean of its divisors is an integer number (6392672).

Almost surely, 2^345892032 is an apocalyptic number.

345892032 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 345892032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536984448).

345892032 is an abundant number, since it is smaller than the sum of its proper divisors (728076864).

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

345892032 is an equidigital number, since it uses as much as digits as its factorization.

345892032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 345892032 is about 18598.1728134782. The cubic root of 345892032 is about 701.9618651211.

The spelling of 345892032 in words is "three hundred forty-five million, eight hundred ninety-two thousand, thirty-two".