3001232424960 has 2304 divisors, whose sum is σ = 13705979414400. Its totient is φ = 616625602560.

The previous prime is 3001232424959. The next prime is 3001232425039. The reversal of 3001232424960 is 694242321003.

3001232424960 is a `hidden beast` number, since 3 + 0 + 0 + 123 + 2 + 42 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 33721712596 + ... + 33721712684.

Almost surely, 2^{3001232424960} is an apocalyptic number.

3001232424960 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 3001232424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852989707200).

3001232424960 is an abundant number, since it is smaller than the sum of its proper divisors (10704746989440).

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

3001232424960 is an frugal number, since it uses more digits than its factorization.

3001232424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 3001232424960 its reverse (694242321003), we get a palindrome (3695474745963).

The spelling of 3001232424960 in words is "three trillion, one billion, two hundred thirty-two million, four hundred twenty-four thousand, nine hundred sixty".