3434342400 has 432 divisors, whose sum is σ = 12773205900. Its totient is φ = 880803840.

The previous prime is 3434342333. The next prime is 3434342437. The reversal of 3434342400 is 42434343.

It can be written as a sum of positive squares in 6 ways, for example, as 2387690496 + 1046651904 = 48864^2 + 32352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13363072 + ... + 13363328.

Almost surely, 2^3434342400 is an apocalyptic number.

3434342400 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 3434342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386602950).

3434342400 is an abundant number, since it is smaller than the sum of its proper divisors (9338863500).

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

3434342400 is a wasteful number, since it uses less digits than its factorization.

3434342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3434342400 is about 58603.2627078049. The cubic root of 3434342400 is about 1508.7404375780.

Adding to 3434342400 its reverse (42434343), we get a palindrome (3476776743).

The spelling of 3434342400 in words is "three billion, four hundred thirty-four million, three hundred forty-two thousand, four hundred".