345363200 has 216 divisors, whose sum is σ = 1053870048. Its totient is φ = 109117440.

The previous prime is 345363197. The next prime is 345363203. The reversal of 345363200 is 2363543.

It is an interprime number because it is at equal distance from previous prime (345363197) and next prime (345363203).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 345363200.

It is not an unprimeable number, because it can be changed into a prime (345363203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582104 + ... + 582696.

It is an arithmetic number, because the mean of its divisors is an integer number (4879028).

Almost surely, 2^345363200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526935024).

345363200 is an abundant number, since it is smaller than the sum of its proper divisors (708506848).

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

345363200 is a wasteful number, since it uses less digits than its factorization.

345363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 345363200 is about 18583.9500645046. The cubic root of 345363200 is about 701.6039410593.

The spelling of 345363200 in words is "three hundred forty-five million, three hundred sixty-three thousand, two hundred".