3310114344400 has 120 divisors (see below), whose sum is σ = 7972570359000. Its totient is φ = 1320715468800.

The previous prime is 3310114344389. The next prime is 3310114344403. The reversal of 3310114344400 is 44434110133.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 596886037056 + 2713228307344 = 772584^2 + 1647188^2 .

It is a super-2 number, since 2×3310114344400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3310114344403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513272376 + ... + 513278824.

It is an arithmetic number, because the mean of its divisors is an integer number (66438086325).

Almost surely, 2^{3310114344400} 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 3310114344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986285179500).

3310114344400 is an abundant number, since it is smaller than the sum of its proper divisors (4662456014600).

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

3310114344400 is a wasteful number, since it uses less digits than its factorization.

3310114344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9497 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 3310114344400 its reverse (44434110133), we get a palindrome (3354548454533).

The spelling of 3310114344400 in words is "three trillion, three hundred ten billion, one hundred fourteen million, three hundred forty-four thousand, four hundred".