336243200 has 120 divisors (see below), whose sum is σ = 844200060. Its totient is φ = 132710400.

The previous prime is 336243199. The next prime is 336243211. The reversal of 336243200 is 2342633.

It can be written as a sum of positive squares in 6 ways, for example, as 198697216 + 137545984 = 14096^2 + 11728^2 .

It is a super-2 number, since 2×336243200² = 226118979092480000, which contains 22 as substring.

It is a zygodrome in base 4.

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, 1395080 + ... + 1395320.

Almost surely, 2^336243200 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 336243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422100030).

336243200 is an abundant number, since it is smaller than the sum of its proper divisors (507956860).

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

336243200 is a wasteful number, since it uses less digits than its factorization.

336243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 336243200 is about 18336.9354037145. The cubic root of 336243200 is about 695.3730206042.

Adding to 336243200 its reverse (2342633), we get a palindrome (338585833).

The spelling of 336243200 in words is "three hundred thirty-six million, two hundred forty-three thousand, two hundred".