3031135725240 has 1536 divisors, whose sum is σ = 12658705920000. Its totient is φ = 641989877760.

The previous prime is 3031135725229. The next prime is 3031135725259. The reversal of 3031135725240 is 425275311303.

3031135725240 is a `hidden beast` number, since 3 + 0 + 3 + 11 + 357 + 252 + 40 = 666.

3031135725240 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 = 3031135725195 and 3031135725204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4215765601 + ... + 4215766319.

It is an arithmetic number, because the mean of its divisors is an integer number (8241345000).

Almost surely, 2^{3031135725240} is an apocalyptic number.

3031135725240 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 3031135725240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329352960000).

3031135725240 is an abundant number, since it is smaller than the sum of its proper divisors (9627570194760).

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

3031135725240 is a wasteful number, since it uses less digits than its factorization.

3031135725240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 3031135725240 in words is "three trillion, thirty-one billion, one hundred thirty-five million, seven hundred twenty-five thousand, two hundred forty".