3000240220032 has 192 divisors, whose sum is σ = 9437726712960. Its totient is φ = 907294970880.

The previous prime is 3000240219983. The next prime is 3000240220079. The reversal of 3000240220032 is 2300220420003.

3000240220032 is a `hidden beast` number, since 30 + 0 + 0 + 2 + 402 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3000240219987 and 3000240220014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5928183 + ... + 6414345.

It is an arithmetic number, because the mean of its divisors is an integer number (49154826630).

Almost surely, 2^{3000240220032} is an apocalyptic number.

3000240220032 is a gapful number since it is divisible by the number (32) 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 3000240220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718863356480).

3000240220032 is an abundant number, since it is smaller than the sum of its proper divisors (6437486492928).

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

3000240220032 is a wasteful number, since it uses less digits than its factorization.

3000240220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486681 (or 486666 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 3000240220032 its reverse (2300220420003), we get a palindrome (5300460640035).

The spelling of 3000240220032 in words is "three trillion, two hundred forty million, two hundred twenty thousand, thirty-two".