345096000 has 168 divisors, whose sum is σ = 1234723464. Its totient is φ = 92006400.

The previous prime is 345095983. The next prime is 345096001. The reversal of 345096000 is 690543.

It is a happy number.

345096000 is a `hidden beast` number, since 3 + 4 + 50 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 345067776 = 168^2 + 18576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345096001) by changing a digit.

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, 69604 + ... + 74396.

Almost surely, 2^345096000 is an apocalyptic number.

345096000 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 345096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617361732).

345096000 is an abundant number, since it is smaller than the sum of its proper divisors (889627464).

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

345096000 is a wasteful number, since it uses less digits than its factorization.

345096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 345096000 is about 18576.7596743889. The cubic root of 345096000 is about 701.4229558041.

The spelling of 345096000 in words is "three hundred forty-five million, ninety-six thousand".