340704000 has 648 divisors, whose sum is σ = 1517154912. Its totient is φ = 71884800.

The previous prime is 340703963. The next prime is 340704019. The reversal of 340704000 is 407043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26207994 + ... + 26208006.

Almost surely, 2^340704000 is an apocalyptic number.

340704000 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 340704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758577456).

340704000 is an abundant number, since it is smaller than the sum of its proper divisors (1176450912).

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

340704000 is a wasteful number, since it uses less digits than its factorization.

340704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 340704000 is about 18458.1689232708. The cubic root of 340704000 is about 698.4345971532.

The spelling of 340704000 in words is "three hundred forty million, seven hundred four thousand".