3002693138880 has 448 divisors, whose sum is σ = 9927092160000. Its totient is φ = 768048906240.

The previous prime is 3002693138849. The next prime is 3002693138897. The reversal of 3002693138880 is 888313962003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4598304634 + ... + 4598305286.

Almost surely, 2^{3002693138880} is an apocalyptic number.

3002693138880 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 3002693138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963546080000).

3002693138880 is an abundant number, since it is smaller than the sum of its proper divisors (6924399021120).

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

3002693138880 is a wasteful number, since it uses less digits than its factorization.

3002693138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 3002693138880 in words is "three trillion, two billion, six hundred ninety-three million, one hundred thirty-eight thousand, eight hundred eighty".