3141303408 has 120 divisors (see below), whose sum is σ = 9099417600. Its totient is φ = 1010586240.

The previous prime is 3141303371. The next prime is 3141303409. The reversal of 3141303408 is 8043031413.

3141303408 is a `hidden beast` number, since 314 + 1 + 3 + 0 + 340 + 8 = 666.

It is a super-2 number, since 2×3141303408² = 19735574202224828928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141303409) 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, 2244693 + ... + 2246091.

It is an arithmetic number, because the mean of its divisors is an integer number (75828480).

Almost surely, 2^3141303408 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 3141303408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549708800).

3141303408 is an abundant number, since it is smaller than the sum of its proper divisors (5958114192).

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

3141303408 is a wasteful number, since it uses less digits than its factorization.

3141303408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3141303408 is about 56047.3318544246. The cubic root of 3141303408 is about 1464.5469379884.

The spelling of 3141303408 in words is "three billion, one hundred forty-one million, three hundred three thousand, four hundred eight".