3001678892472 has 256 divisors, whose sum is σ = 8613459025920. Its totient is φ = 863528140800.

The previous prime is 3001678892449. The next prime is 3001678892479. The reversal of 3001678892472 is 2742988761003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001678892479) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616232197 + ... + 616237067.

It is an arithmetic number, because the mean of its divisors is an integer number (33646324320).

Almost surely, 2^{3001678892472} 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 3001678892472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306729512960).

3001678892472 is an abundant number, since it is smaller than the sum of its proper divisors (5611780133448).

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

3001678892472 is a wasteful number, since it uses less digits than its factorization.

3001678892472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 3001678892472 in words is "three trillion, one billion, six hundred seventy-eight million, eight hundred ninety-two thousand, four hundred seventy-two".