34022100 has 144 divisors (see below), whose sum is σ = 119242368. Its totient is φ = 7311360.

The previous prime is 34022089. The next prime is 34022101. The reversal of 34022100 is 122043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34022101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35224 + ... + 36176.

It is an arithmetic number, because the mean of its divisors is an integer number (828072).

Almost surely, 2^34022100 is an apocalyptic number.

34022100 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 34022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59621184).

34022100 is an abundant number, since it is smaller than the sum of its proper divisors (85220268).

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

34022100 is a wasteful number, since it uses less digits than its factorization.

34022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 987 counting only the distinct ones).

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

The square root of 34022100 is about 5832.8466463640. The cubic root of 34022100 is about 324.0313565141.

Adding to 34022100 its reverse (122043), we get a palindrome (34144143).

The spelling of 34022100 in words is "thirty-four million, twenty-two thousand, one hundred".