3001010785920 has 576 divisors, whose sum is σ = 12234760668000. Its totient is φ = 675703074816.

The previous prime is 3001010785909. The next prime is 3001010785967. The reversal of 3001010785920 is 295870101003.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18830731 + ... + 18989429.

Almost surely, 2^{3001010785920} is an apocalyptic number.

3001010785920 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 3001010785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117380334000).

3001010785920 is an abundant number, since it is smaller than the sum of its proper divisors (9233749882080).

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

3001010785920 is a wasteful number, since it uses less digits than its factorization.

3001010785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158805 (or 158783 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 3001010785920 its reverse (295870101003), we get a palindrome (3296880886923).

The spelling of 3001010785920 in words is "three trillion, one billion, ten million, seven hundred eighty-five thousand, nine hundred twenty".