345880200 has 96 divisors (see below), whose sum is σ = 1076716800. Its totient is φ = 91848960.

The previous prime is 345880193. The next prime is 345880207. The reversal of 345880200 is 2088543.

It is an interprime number because it is at equal distance from previous prime (345880193) and next prime (345880207).

It is a super-2 number, since 2×345880200² = 239266225504080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (345880207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160329 + ... + 162471.

It is an arithmetic number, because the mean of its divisors is an integer number (11215800).

Almost surely, 2^345880200 is an apocalyptic number.

345880200 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 345880200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538358400).

345880200 is an abundant number, since it is smaller than the sum of its proper divisors (730836600).

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

345880200 is a wasteful number, since it uses less digits than its factorization.

345880200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 345880200 is about 18597.8547149933. The cubic root of 345880200 is about 701.9538609784.

The spelling of 345880200 in words is "three hundred forty-five million, eight hundred eighty thousand, two hundred".