3058032406240 has 384 divisors, whose sum is σ = 8553284425728. Its totient is φ = 1011651379200.

The previous prime is 3058032406223. The next prime is 3058032406249. The reversal of 3058032406240 is 426042308503.

It is a super-2 number, since 2×3058032406240² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3058032406240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058032406249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 827164072 + ... + 827167768.

It is an arithmetic number, because the mean of its divisors is an integer number (22274178192).

Almost surely, 2^{3058032406240} 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 3058032406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276642212864).

3058032406240 is an abundant number, since it is smaller than the sum of its proper divisors (5495252019488).

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

3058032406240 is a wasteful number, since it uses less digits than its factorization.

3058032406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 3058032406240 in words is "three trillion, fifty-eight billion, thirty-two million, four hundred six thousand, two hundred forty".