3420012310440 has 256 divisors, whose sum is σ = 11229974784000. Its totient is φ = 826342548480.

The previous prime is 3420012310399. The next prime is 3420012310447. The reversal of 3420012310440 is 440132100243.

3420012310440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3420012310440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3420012310440.

It is not an unprimeable number, because it can be changed into a prime (3420012310447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563704287 + ... + 563710353.

It is an arithmetic number, because the mean of its divisors is an integer number (43867089000).

Almost surely, 2^{3420012310440} is an apocalyptic number.

3420012310440 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 3420012310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614987392000).

3420012310440 is an abundant number, since it is smaller than the sum of its proper divisors (7809962473560).

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

3420012310440 is a wasteful number, since it uses less digits than its factorization.

3420012310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3420012310440 its reverse (440132100243), we get a palindrome (3860144410683).

The spelling of 3420012310440 in words is "three trillion, four hundred twenty billion, twelve million, three hundred ten thousand, four hundred forty".