3424344400 has 60 divisors (see below), whose sum is σ = 8308540764. Its totient is φ = 1356160000.

The previous prime is 3424344353. The next prime is 3424344479. The reversal of 3424344400 is 44434243.

It can be written as a sum of positive squares in 6 ways, for example, as 20322064 + 3404022336 = 4508^2 + 58344^2 .

It is a super-3 number, since 3×3424344400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1981 + ... + 82780.

Almost surely, 2^3424344400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154270382).

3424344400 is an abundant number, since it is smaller than the sum of its proper divisors (4884196364).

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

3424344400 is a wasteful number, since it uses less digits than its factorization.

3424344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84880 (or 84869 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 3424344400 is about 58517.8981167301. The cubic root of 3424344400 is about 1507.2749412606.

Adding to 3424344400 its reverse (44434243), we get a palindrome (3468778643).

The spelling of 3424344400 in words is "three billion, four hundred twenty-four million, three hundred forty-four thousand, four hundred".