340608000 has 176 divisors, whose sum is σ = 1134267264. Its totient is φ = 90726400.

The previous prime is 340607983. The next prime is 340608001. The reversal of 340608000 is 806043.

It is not an unprimeable number, because it can be changed into a prime (340608001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383557 + ... + 384443.

Almost surely, 2^340608000 is an apocalyptic number.

340608000 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 340608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567133632).

340608000 is an abundant number, since it is smaller than the sum of its proper divisors (793659264).

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

340608000 is an equidigital number, since it uses as much as digits as its factorization.

340608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 340608000 is about 18455.5682654314. The cubic root of 340608000 is about 698.3689917990.

The spelling of 340608000 in words is "three hundred forty million, six hundred eight thousand".