34200443400 has 96 divisors (see below), whose sum is σ = 110631044160. Its totient is φ = 8723587840.

The previous prime is 34200443363. The next prime is 34200443483. The reversal of 34200443400 is 434400243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225347 + ... + 1252946.

It is an arithmetic number, because the mean of its divisors is an integer number (1152406710).

Almost surely, 2^34200443400 is an apocalyptic number.

34200443400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34200443400 is an abundant number, since it is smaller than the sum of its proper divisors (76430600760).

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

34200443400 is a wasteful number, since it uses less digits than its factorization.

34200443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478335 (or 2478326 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34200443400 its reverse (434400243), we get a palindrome (34634843643).

The spelling of 34200443400 in words is "thirty-four billion, two hundred million, four hundred forty-three thousand, four hundred".