3332412210304 has 64 divisors (see below), whose sum is σ = 6680394073080. Its totient is φ = 1655777894400.

The previous prime is 3332412210287. The next prime is 3332412210311. The reversal of 3332412210304 is 4030122142333.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2297407118400 + 1035005091904 = 1515720^2 + 1017352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3332412210304² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31757284 + ... + 31862044.

Almost surely, 2^{3332412210304} 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 3332412210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340197036540).

3332412210304 is an abundant number, since it is smaller than the sum of its proper divisors (3347981862776).

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

3332412210304 is a wasteful number, since it uses less digits than its factorization.

3332412210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106329 (or 106317 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3332412210304 its reverse (4030122142333), we get a palindrome (7362534352637).

The spelling of 3332412210304 in words is "three trillion, three hundred thirty-two billion, four hundred twelve million, two hundred ten thousand, three hundred four".