34100220 has 192 divisors, whose sum is σ = 121992192. Its totient is φ = 6969600.

The previous prime is 34100207. The next prime is 34100251. The reversal of 34100220 is 2200143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34100196 and 34100205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558990 + ... + 559050.

It is an arithmetic number, because the mean of its divisors is an integer number (635376).

Almost surely, 2^34100220 is an apocalyptic number.

34100220 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 34100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60996096).

34100220 is an abundant number, since it is smaller than the sum of its proper divisors (87891972).

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

34100220 is a wasteful number, since it uses less digits than its factorization.

34100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

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

The square root of 34100220 is about 5839.5393653952. The cubic root of 34100220 is about 324.2791756259.

Adding to 34100220 its reverse (2200143), we get a palindrome (36300363).

The spelling of 34100220 in words is "thirty-four million, one hundred thousand, two hundred twenty".