3400024222122 has 64 divisors (see below), whose sum is σ = 7558283560320. Its totient is φ = 1010941747200.

The previous prime is 3400024222117. The next prime is 3400024222157. The reversal of 3400024222122 is 2212224200043.

3400024222122 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 2×3400024222122² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3400024222092 and 3400024222101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614218 + ... + 2679050.

It is an arithmetic number, because the mean of its divisors is an integer number (118098180630).

Almost surely, 2^{3400024222122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400024222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779141780160).

3400024222122 is an abundant number, since it is smaller than the sum of its proper divisors (4158259338198).

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

3400024222122 is a wasteful number, since it uses less digits than its factorization.

3400024222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065319.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 3400024222122 its reverse (2212224200043), we get a palindrome (5612248422165).

The spelling of 3400024222122 in words is "three trillion, four hundred billion, twenty-four million, two hundred twenty-two thousand, one hundred twenty-two".