34100022 has 64 divisors (see below), whose sum is σ = 79626240. Its totient is φ = 9626400.

The previous prime is 34100021. The next prime is 34100023. The reversal of 34100022 is 22000143.

It is an interprime number because it is at equal distance from previous prime (34100021) and next prime (34100023).

It is a junction number, because it is equal to n+sod(n) for n = 34099980 and 34100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34100021) 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, 88843 + ... + 89225.

It is an arithmetic number, because the mean of its divisors is an integer number (1244160).

Almost surely, 2^34100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39813120).

34100022 is an abundant number, since it is smaller than the sum of its proper divisors (45526218).

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

34100022 is a wasteful number, since it uses less digits than its factorization.

34100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34100022 is about 5839.5224119786. The cubic root of 34100022 is about 324.2785479916.

Adding to 34100022 its reverse (22000143), we get a palindrome (56100165).

The spelling of 34100022 in words is "thirty-four million, one hundred thousand, twenty-two".