34100312220 has 144 divisors (see below), whose sum is σ = 114405301920. Its totient is φ = 8167039488.

The previous prime is 34100312173. The next prime is 34100312243. The reversal of 34100312220 is 2221300143.

34100312220 is a `hidden beast` number, since 3 + 410 + 0 + 31 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34100312193 and 34100312202.

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, 110350 + ... + 283509.

Almost surely, 2^34100312220 is an apocalyptic number.

34100312220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34100312220 is an abundant number, since it is smaller than the sum of its proper divisors (80304989700).

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

34100312220 is a wasteful number, since it uses less digits than its factorization.

34100312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393924 (or 393919 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34100312220 its reverse (2221300143), we get a palindrome (36321612363).

The spelling of 34100312220 in words is "thirty-four billion, one hundred million, three hundred twelve thousand, two hundred twenty".