345546000 has 320 divisors, whose sum is σ = 1268966400. Its totient is φ = 90979200.

The previous prime is 345545987. The next prime is 345546007. The reversal of 345546000 is 645543.

345546000 is a `hidden beast` number, since 3 + 4 + 5 + 54 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345546007) 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 63 ways as a sum of consecutive naturals, for example, 4373961 + ... + 4374039.

It is an arithmetic number, because the mean of its divisors is an integer number (3965520).

Almost surely, 2^345546000 is an apocalyptic number.

345546000 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 345546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634483200).

345546000 is an abundant number, since it is smaller than the sum of its proper divisors (923420400).

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

345546000 is an frugal number, since it uses more digits than its factorization.

345546000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 345546000 is about 18588.8676363032. The cubic root of 345546000 is about 701.7277050455.

It can be divided in two parts, 3455 and 46000, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 345546000 in words is "three hundred forty-five million, five hundred forty-six thousand".