345380227200 has 216 divisors, whose sum is σ = 1232751778245. Its totient is φ = 92074798080.

The previous prime is 345380227183. The next prime is 345380227217. The reversal of 345380227200 is 2722083543.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

345380227200 is a `hidden beast` number, since 3 + 4 + 5 + 380 + 2 + 272 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345380227183) and next prime (345380227217).

It can be written as a sum of positive squares in 2 ways, for example, as 338472622656 + 6907604544 = 581784^2 + 83112^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=415560.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99732669 + ... + 99736131.

Almost surely, 2^345380227200 is an apocalyptic number.

345380227200 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 345380227200

345380227200 is an abundant number, since it is smaller than the sum of its proper divisors (887371551045).

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

345380227200 is an frugal number, since it uses more digits than its factorization.

345380227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6956 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 345380227200 in words is "three hundred forty-five billion, three hundred eighty million, two hundred twenty-seven thousand, two hundred".