3002893946880 has 416 divisors, whose sum is σ = 9818103226368. Its totient is φ = 783433728000.

The previous prime is 3002893946879. The next prime is 3002893946909. The reversal of 3002893946880 is 886493982003.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621586065 + ... + 621590895.

Almost surely, 2^{3002893946880} is an apocalyptic number.

3002893946880 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 3002893946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909051613184).

3002893946880 is an abundant number, since it is smaller than the sum of its proper divisors (6815209279488).

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

3002893946880 is a wasteful number, since it uses less digits than its factorization.

3002893946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 3002893946880 in words is "three trillion, two billion, eight hundred ninety-three million, nine hundred forty-six thousand, eight hundred eighty".