340084800 has 504 divisors, whose sum is σ = 1400312160. Its totient is φ = 77414400.

The previous prime is 340084799. The next prime is 340084837. The reversal of 340084800 is 8480043.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 3009544 + ... + 3009656.

Almost surely, 2^340084800 is an apocalyptic number.

340084800 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 340084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700156080).

340084800 is an abundant number, since it is smaller than the sum of its proper divisors (1060227360).

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

340084800 is a wasteful number, since it uses less digits than its factorization.

340084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 340084800 is about 18441.3882340783. The cubic root of 340084800 is about 698.0112257809.

The spelling of 340084800 in words is "three hundred forty million, eighty-four thousand, eight hundred".