3420123413256 has 128 divisors (see below), whose sum is σ = 10366597900800. Its totient is φ = 1036142280000.

The previous prime is 3420123413237. The next prime is 3420123413257. The reversal of 3420123413256 is 6523143210243.

3420123413256 is a `hidden beast` number, since 34 + 20 + 12 + 341 + 3 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3420123413256.

It is not an unprimeable number, because it can be changed into a prime (3420123413257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9447511 + ... + 9802841.

It is an arithmetic number, because the mean of its divisors is an integer number (80989046100).

Almost surely, 2^{3420123413256} is an apocalyptic number.

3420123413256 is a gapful number since it is divisible by the number (36) 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 3420123413256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183298950400).

3420123413256 is an abundant number, since it is smaller than the sum of its proper divisors (6946474487544).

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

3420123413256 is a wasteful number, since it uses less digits than its factorization.

3420123413256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359408 (or 359398 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 3420123413256 its reverse (6523143210243), we get a palindrome (9943266623499).

The spelling of 3420123413256 in words is "three trillion, four hundred twenty billion, one hundred twenty-three million, four hundred thirteen thousand, two hundred fifty-six".