345550233600 has 2688 divisors, whose sum is σ = 1638195148800. Its totient is φ = 70071091200.

The previous prime is 345550233533. The next prime is 345550233601. The reversal of 345550233600 is 6332055543.

345550233600 is a `hidden beast` number, since 3 + 45 + 5 + 5 + 0 + 2 + 3 + 3 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (345550233601) 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 191 ways as a sum of consecutive naturals, for example, 15023923189 + ... + 15023923211.

It is an arithmetic number, because the mean of its divisors is an integer number (609447600).

Almost surely, 2^345550233600 is an apocalyptic number.

345550233600 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 345550233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819097574400).

345550233600 is an abundant number, since it is smaller than the sum of its proper divisors (1292644915200).

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

345550233600 is a wasteful number, since it uses less digits than its factorization.

345550233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 345550233600 in words is "three hundred forty-five billion, five hundred fifty million, two hundred thirty-three thousand, six hundred".