3007938898944 has 1056 divisors, whose sum is σ = 10673148395520. Its totient is φ = 797438214144.

The previous prime is 3007938898889. The next prime is 3007938898969. The reversal of 3007938898944 is 4498988397003.

3007938898944 is a `hidden beast` number, since 3 + 0 + 0 + 79 + 388 + 98 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7853626177 + ... + 7853626559.

Almost surely, 2^{3007938898944} 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 3007938898944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336574197760).

3007938898944 is an abundant number, since it is smaller than the sum of its proper divisors (7665209496576).

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

3007938898944 is a wasteful number, since it uses less digits than its factorization.

3007938898944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 3007938898944 in words is "three trillion, seven billion, nine hundred thirty-eight million, eight hundred ninety-eight thousand, nine hundred forty-four".