3420012234240 has 480 divisors, whose sum is σ = 13738611744000. Its totient is φ = 770047229952.

The previous prime is 3420012234217. The next prime is 3420012234241. The reversal of 3420012234240 is 424322100243.

3420012234240 is a `hidden beast` number, since 3 + 4 + 200 + 12 + 23 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420012234241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10647511 + ... + 10964009.

It is an arithmetic number, because the mean of its divisors is an integer number (28622107800).

Almost surely, 2^{3420012234240} is an apocalyptic number.

3420012234240 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 3420012234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869305872000).

3420012234240 is an abundant number, since it is smaller than the sum of its proper divisors (10318599509760).

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

3420012234240 is a wasteful number, since it uses less digits than its factorization.

3420012234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316602 (or 316583 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3420012234240 its reverse (424322100243), we get a palindrome (3844334334483).

The spelling of 3420012234240 in words is "three trillion, four hundred twenty billion, twelve million, two hundred thirty-four thousand, two hundred forty".