340545600 has 168 divisors, whose sum is σ = 1241572320. Its totient is φ = 90800640.

The previous prime is 340545593. The next prime is 340545629. The reversal of 340545600 is 6545043.

340545600 is a `hidden beast` number, since 3 + 4 + 0 + 54 + 5 + 600 = 666.

340545600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39259 + ... + 47141.

Almost surely, 2^340545600 is an apocalyptic number.

340545600 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 340545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620786160).

340545600 is an abundant number, since it is smaller than the sum of its proper divisors (901026720).

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

340545600 is a wasteful number, since it uses less digits than its factorization.

340545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914 (or 7893 counting only the distinct ones).

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

The square root of 340545600 is about 18453.8776412980. The cubic root of 340545600 is about 698.3263417080.

The spelling of 340545600 in words is "three hundred forty million, five hundred forty-five thousand, six hundred".