8434401900 has 72 divisors (see below), whose sum is σ = 24697627584. Its totient is φ = 2222068800.

The previous prime is 8434401881. The next prime is 8434401901. The reversal of 8434401900 is 91044348.

It is a happy number.

It is a super-2 number, since 2×8434401900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8434401901) 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 23 ways as a sum of consecutive naturals, for example, 144466 + ... + 194265.

Almost surely, 2^8434401900 is an apocalyptic number.

It is an amenable number.

8434401900 is an abundant number, since it is smaller than the sum of its proper divisors (16263225684).

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

8434401900 is a wasteful number, since it uses less digits than its factorization.

8434401900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338831 (or 338824 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8434401900 is about 91838.9998856695. Note that the first 3 decimals coincide. The cubic root of 8434401900 is about 2035.5640104697.

The spelling of 8434401900 in words is "eight billion, four hundred thirty-four million, four hundred one thousand, nine hundred".