336800000 has 108 divisors (see below), whose sum is σ = 842297652. Its totient is φ = 134400000.

The previous prime is 336799999. The next prime is 336800021. The reversal of 336800000 is 8633.

It can be written as a sum of positive squares in 6 ways, for example, as 335036416 + 1763584 = 18304^2 + 1328^2 .

It is a super-2 number, since 2×336800000² = 226868480000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799790 + ... + 800210.

Almost surely, 2^336800000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421148826).

336800000 is an abundant number, since it is smaller than the sum of its proper divisors (505497652).

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

336800000 is an frugal number, since it uses more digits than its factorization.

336800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 336800000 is about 18352.1115951271. Note that the first 3 decimals coincide. The cubic root of 336800000 is about 695.7566419197.

Adding to 336800000 its reverse (8633), we get a palindrome (336808633).

The spelling of 336800000 in words is "three hundred thirty-six million, eight hundred thousand".