345127200 has 288 divisors, whose sum is σ = 1299291840. Its totient is φ = 78643200.

The previous prime is 345127193. The next prime is 345127207. The reversal of 345127200 is 2721543.

345127200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (345127193) and next prime (345127207).

It is a super-2 number, since 2×345127200² = 238225568359680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345127207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448416 + ... + 449184.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2^345127200 is an apocalyptic number.

345127200 is a gapful number since it is divisible by the number (30) 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 345127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649645920).

345127200 is an abundant number, since it is smaller than the sum of its proper divisors (954164640).

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

345127200 is a wasteful number, since it uses less digits than its factorization.

345127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 345127200 is about 18577.5994143485. The cubic root of 345127200 is about 701.4440936293. Note that the first 3 decimals are identical.

Adding to 345127200 its reverse (2721543), we get a palindrome (347848743).

The spelling of 345127200 in words is "three hundred forty-five million, one hundred twenty-seven thousand, two hundred".