336421800 has 288 divisors, whose sum is σ = 1328352480. Its totient is φ = 75225600.

The previous prime is 336421751. The next prime is 336421801. The reversal of 336421800 is 8124633.

It is a happy number.

336421800 is a `hidden beast` number, since 3 + 3 + 642 + 18 + 0 + 0 = 666.

It is a super-2 number, since 2×336421800² = 226359255030480000, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (336421801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256747 + ... + 258053.

It is an arithmetic number, because the mean of its divisors is an integer number (4612335).

Almost surely, 2^336421800 is an apocalyptic number.

336421800 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 336421800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664176240).

336421800 is an abundant number, since it is smaller than the sum of its proper divisors (991930680).

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

336421800 is a wasteful number, since it uses less digits than its factorization.

336421800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 336421800 is about 18341.8047094608. The cubic root of 336421800 is about 695.4961176552.

The spelling of 336421800 in words is "three hundred thirty-six million, four hundred twenty-one thousand, eight hundred".