3400222034232 has 128 divisors (see below), whose sum is σ = 9535711680000. Its totient is φ = 1122567061248.

The previous prime is 3400222034207. The next prime is 3400222034233. The reversal of 3400222034232 is 2324302220043.

It is a happy number.

3400222034232 is a `hidden beast` number, since 3 + 400 + 2 + 2 + 20 + 3 + 4 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3400222034196 and 3400222034205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400222034233) 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, 12860019 + ... + 13121757.

It is an arithmetic number, because the mean of its divisors is an integer number (74497747500).

Almost surely, 2^{3400222034232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400222034232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767855840000).

3400222034232 is an abundant number, since it is smaller than the sum of its proper divisors (6135489645768).

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

3400222034232 is a wasteful number, since it uses less digits than its factorization.

3400222034232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262330 (or 262320 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3400222034232 its reverse (2324302220043), we get a palindrome (5724524254275).

The spelling of 3400222034232 in words is "three trillion, four hundred billion, two hundred twenty-two million, thirty-four thousand, two hundred thirty-two".