3413230010288 has 240 divisors, whose sum is σ = 8287625808000. Its totient is φ = 1353698970624.

The previous prime is 3413230010287. The next prime is 3413230010303. The reversal of 3413230010288 is 8820100323143.

It is not an unprimeable number, because it can be changed into a prime (3413230010287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110021243 + ... + 110052261.

It is an arithmetic number, because the mean of its divisors is an integer number (34531774200).

Almost surely, 2^{3413230010288} is an apocalyptic number.

3413230010288 is a gapful number since it is divisible by the number (38) 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 3413230010288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143812904000).

3413230010288 is an abundant number, since it is smaller than the sum of its proper divisors (4874395797712).

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

3413230010288 is a wasteful number, since it uses less digits than its factorization.

3413230010288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31232 (or 31219 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 3413230010288 in words is "three trillion, four hundred thirteen billion, two hundred thirty million, ten thousand, two hundred eighty-eight".