345551200 has 72 divisors (see below), whose sum is σ = 857991960. Its totient is φ = 135859200.

The previous prime is 345551159. The next prime is 345551209. The reversal of 345551200 is 2155543.

345551200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×345551200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345551209) 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 11 ways as a sum of consecutive naturals, for example, 43540 + ... + 50860.

It is an arithmetic number, because the mean of its divisors is an integer number (11916555).

Almost surely, 2^345551200 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 345551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428995980).

345551200 is an abundant number, since it is smaller than the sum of its proper divisors (512440760).

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

345551200 is a wasteful number, since it uses less digits than its factorization.

345551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7400 (or 7387 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 345551200 is about 18589.0075044366. The cubic root of 345551200 is about 701.7312250455.

The spelling of 345551200 in words is "three hundred forty-five million, five hundred fifty-one thousand, two hundred".