34200234441 has 96 divisors (see below), whose sum is σ = 55083974400. Its totient is φ = 20360471040.

The previous prime is 34200234437. The next prime is 34200234493. The reversal of 34200234441 is 14443200243.

It is a happy number.

34200234441 is a `hidden beast` number, since 3 + 420 + 0 + 234 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 34200234441 - 2² = 34200234437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34200234421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50516995 + ... + 50517671.

It is an arithmetic number, because the mean of its divisors is an integer number (573791400).

Almost surely, 2^34200234441 is an apocalyptic number.

It is an amenable number.

34200234441 is a deficient number, since it is larger than the sum of its proper divisors (20883739959).

34200234441 is a wasteful number, since it uses less digits than its factorization.

34200234441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34200234441 its reverse (14443200243), we get a palindrome (48643434684).

The spelling of 34200234441 in words is "thirty-four billion, two hundred million, two hundred thirty-four thousand, four hundred forty-one".