3424002624120 has 256 divisors, whose sum is σ = 11131931865600. Its totient is φ = 837522524160.

The previous prime is 3424002624109. The next prime is 3424002624121. The reversal of 3424002624120 is 214262004243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424002624121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486153319 + ... + 486160361.

It is an arithmetic number, because the mean of its divisors is an integer number (43484108850).

Almost surely, 2^{3424002624120} is an apocalyptic number.

3424002624120 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 3424002624120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565965932800).

3424002624120 is an abundant number, since it is smaller than the sum of its proper divisors (7707929241480).

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

3424002624120 is a wasteful number, since it uses less digits than its factorization.

3424002624120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3424002624120 its reverse (214262004243), we get a palindrome (3638264628363).

The spelling of 3424002624120 in words is "three trillion, four hundred twenty-four billion, two million, six hundred twenty-four thousand, one hundred twenty".