3133607040 has 256 divisors, whose sum is σ = 11371449600. Its totient is φ = 815063040.

The previous prime is 3133607039. The next prime is 3133607047. The reversal of 3133607040 is 407063313.

It is a happy number.

3133607040 is a `hidden beast` number, since 3 + 13 + 3 + 607 + 0 + 40 = 666.

It is a super-2 number, since 2×3133607040² = 19638986162275123200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3133606995 and 3133607013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133607047) by changing a digit.

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, 706269 + ... + 710691.

It is an arithmetic number, because the mean of its divisors is an integer number (44419725).

Almost surely, 2^3133607040 is an apocalyptic number.

3133607040 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 3133607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685724800).

3133607040 is an abundant number, since it is smaller than the sum of its proper divisors (8237842560).

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

3133607040 is a wasteful number, since it uses less digits than its factorization.

3133607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3133607040 is about 55978.6302083215. The cubic root of 3133607040 is about 1463.3498860329.

It can be divided in two parts, 313360 and 7040, that added together give a triangular number (320400 = T₈₀₀).

The spelling of 3133607040 in words is "three billion, one hundred thirty-three million, six hundred seven thousand, forty".