345901800 has 96 divisors (see below), whose sum is σ = 1078056000. Its totient is φ = 91745280.

The previous prime is 345901729. The next prime is 345901819. The reversal of 345901800 is 8109543.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117952 + ... + 120848.

It is an arithmetic number, because the mean of its divisors is an integer number (11229750).

Almost surely, 2^345901800 is an apocalyptic number.

345901800 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 345901800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539028000).

345901800 is an abundant number, since it is smaller than the sum of its proper divisors (732154200).

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

345901800 is a wasteful number, since it uses less digits than its factorization.

345901800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 345901800 is about 18598.4354180668. The cubic root of 345901800 is about 701.9684728660.

The spelling of 345901800 in words is "three hundred forty-five million, nine hundred one thousand, eight hundred".