3336488400 has 360 divisors, whose sum is σ = 12541741920. Its totient is φ = 755973120.

The previous prime is 3336488371. The next prime is 3336488401. The reversal of 3336488400 is 48846333.

It is a super-2 number, since 2×3336488400² = 22264309686669120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3336488401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10525042 + ... + 10525358.

It is an arithmetic number, because the mean of its divisors is an integer number (34838172).

Almost surely, 2^3336488400 is an apocalyptic number.

3336488400 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 3336488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270870960).

3336488400 is an abundant number, since it is smaller than the sum of its proper divisors (9205253520).

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

3336488400 is a wasteful number, since it uses less digits than its factorization.

3336488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3336488400 is about 57762.3441352582. The cubic root of 3336488400 is about 1494.2727379221.

The spelling of 3336488400 in words is "three billion, three hundred thirty-six million, four hundred eighty-eight thousand, four hundred".