3331413144 has 128 divisors (see below), whose sum is σ = 9379512000. Its totient is φ = 1095524352.

The previous prime is 3331413133. The next prime is 3331413161. The reversal of 3331413144 is 4413141333.

3331413144 is a `hidden beast` number, since 33 + 314 + 1 + 314 + 4 = 666.

It is a super-2 number, since 2×3331413144² = 22196627072031929472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5184) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6544762 + ... + 6545270.

Almost surely, 2^3331413144 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 3331413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689756000).

3331413144 is an abundant number, since it is smaller than the sum of its proper divisors (6048098856).

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

3331413144 is a wasteful number, since it uses less digits than its factorization.

3331413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3331413144 is about 57718.3951959858. The cubic root of 3331413144 is about 1493.5146889033.

Adding to 3331413144 its reverse (4413141333), we get a palindrome (7744554477).

The spelling of 3331413144 in words is "three billion, three hundred thirty-one million, four hundred thirteen thousand, one hundred forty-four".