34211100 has 144 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 7104000.

The previous prime is 34211063. The next prime is 34211113. The reversal of 34211100 is 111243.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22360 + ... + 23840.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 2^34211100 is an apocalyptic number.

34211100 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 34211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

34211100 is an abundant number, since it is smaller than the sum of its proper divisors (89280996).

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

34211100 is a wasteful number, since it uses less digits than its factorization.

34211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 34211100 is about 5849.0255598689. The cubic root of 34211100 is about 324.6302698783.

Adding to 34211100 its reverse (111243), we get a palindrome (34322343).

The spelling of 34211100 in words is "thirty-four million, two hundred eleven thousand, one hundred".