34206404100 has 144 divisors (see below), whose sum is σ = 108113246976. Its totient is φ = 8281296000.

The previous prime is 34206404087. The next prime is 34206404107. The reversal of 34206404100 is 140460243.

It is not an unprimeable number, because it can be changed into a prime (34206404107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2590515 + ... + 2603685.

Almost surely, 2^34206404100 is an apocalyptic number.

34206404100 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 34206404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54056623488).

34206404100 is an abundant number, since it is smaller than the sum of its proper divisors (73906842876).

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

34206404100 is a wasteful number, since it uses less digits than its factorization.

34206404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13986 (or 13979 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34206404100 its reverse (140460243), we get a palindrome (34346864343).

The spelling of 34206404100 in words is "thirty-four billion, two hundred six million, four hundred four thousand, one hundred".