3133088640 has 512 divisors, whose sum is σ = 12373171200. Its totient is φ = 742809600.

The previous prime is 3133088633. The next prime is 3133088653. The reversal of 3133088640 is 468803313.

It is a happy number.

3133088640 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 0 + 8 + 8 + 640 = 666.

3133088640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3133088595 and 3133088604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10074085 + ... + 10074395.

It is an arithmetic number, because the mean of its divisors is an integer number (24166350).

Almost surely, 2^3133088640 is an apocalyptic number.

3133088640 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 3133088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186585600).

3133088640 is an abundant number, since it is smaller than the sum of its proper divisors (9240082560).

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

3133088640 is a wasteful number, since it uses less digits than its factorization.

3133088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3133088640 is about 55973.9996784221. Note that the first 3 decimals coincide. The cubic root of 3133088640 is about 1463.2691864421.

Adding to 3133088640 its sum of digits (36), we get a square (3133088676 = 55974²).

The spelling of 3133088640 in words is "three billion, one hundred thirty-three million, eighty-eight thousand, six hundred forty".