3058032540768 has 192 divisors, whose sum is σ = 8748749979648. Its totient is φ = 931573923840.

The previous prime is 3058032540749. The next prime is 3058032540769. The reversal of 3058032540768 is 8670452308503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3058032540768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058032540769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9584448 + ... + 9898368.

It is an arithmetic number, because the mean of its divisors is an integer number (45566406144).

Almost surely, 2^{3058032540768} 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 3058032540768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374374989824).

3058032540768 is an abundant number, since it is smaller than the sum of its proper divisors (5690717438880).

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

3058032540768 is a wasteful number, since it uses less digits than its factorization.

3058032540768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314125 (or 314117 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 3058032540768 in words is "three trillion, fifty-eight billion, thirty-two million, five hundred forty thousand, seven hundred sixty-eight".