3133434240 has 256 divisors, whose sum is σ = 11181240000. Its totient is φ = 829292544.

The previous prime is 3133434223. The next prime is 3133434257. The reversal of 3133434240 is 424343313.

3133434240 is a `hidden beast` number, since 313 + 3 + 4 + 342 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3133434223) and next prime (3133434257).

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

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, 2574112 + ... + 2575328.

Almost surely, 2^3133434240 is an apocalyptic number.

3133434240 is a gapful number since it is divisible by the number (30) 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 3133434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590620000).

3133434240 is an abundant number, since it is smaller than the sum of its proper divisors (8047805760).

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

3133434240 is a wasteful number, since it uses less digits than its factorization.

3133434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3133434240 is about 55977.0867409157. The cubic root of 3133434240 is about 1463.3229871582.

Adding to 3133434240 its reverse (424343313), we get a palindrome (3557777553).

The spelling of 3133434240 in words is "three billion, one hundred thirty-three million, four hundred thirty-four thousand, two hundred forty".