3330010400 has 72 divisors (see below), whose sum is σ = 8210076084. Its totient is φ = 1318784000.

The previous prime is 3330010391. The next prime is 3330010441. The reversal of 3330010400 is 40100333.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3123915664 + 206094736 = 55892^2 + 14356^2 .

It is a super-2 number, since 2×3330010400² = 22177938528216320000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 60194 + ... + 101406.

Almost surely, 2^3330010400 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 3330010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105038042).

3330010400 is an abundant number, since it is smaller than the sum of its proper divisors (4880065684).

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

3330010400 is a wasteful number, since it uses less digits than its factorization.

3330010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41334 (or 41321 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3330010400 is about 57706.2422966528. The cubic root of 3330010400 is about 1493.3050368434.

Adding to 3330010400 its reverse (40100333), we get a palindrome (3370110733).

The spelling of 3330010400 in words is "three billion, three hundred thirty million, ten thousand, four hundred".