4334340400 has 120 divisors (see below), whose sum is σ = 11874177504. Its totient is φ = 1506201600.

The previous prime is 4334340343. The next prime is 4334340403. The reversal of 4334340400 is 40434334.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4334340403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63885 + ... + 112915.

Almost surely, 2^4334340400 is an apocalyptic number.

4334340400 is a gapful number since it is divisible by the number (40) 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 4334340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937088752).

4334340400 is an abundant number, since it is smaller than the sum of its proper divisors (7539837104).

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

4334340400 is a wasteful number, since it uses less digits than its factorization.

4334340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49079 (or 49068 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 4334340400 is about 65835.7076365098. The cubic root of 4334340400 is about 1630.4507015185.

Adding to 4334340400 its reverse (40434334), we get a palindrome (4374774734).

The spelling of 4334340400 in words is "four billion, three hundred thirty-four million, three hundred forty thousand, four hundred".