345865152 has 56 divisors (see below), whose sum is σ = 922154112. Its totient is φ = 114400000.

The previous prime is 345865129. The next prime is 345865193. The reversal of 345865152 is 251568543.

It is a self number, because there is not a number n which added to its sum of digits gives 345865152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18277 + ... + 32027.

Almost surely, 2^345865152 is an apocalyptic number.

345865152 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 345865152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461077056).

345865152 is an abundant number, since it is smaller than the sum of its proper divisors (576288960).

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

345865152 is a wasteful number, since it uses less digits than its factorization.

345865152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13897 (or 13887 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 345865152 is about 18597.4501478025. The cubic root of 345865152 is about 701.9436810039.

The spelling of 345865152 in words is "three hundred forty-five million, eight hundred sixty-five thousand, one hundred fifty-two".