4000344400 has 60 divisors (see below), whose sum is σ = 10350135292. Its totient is φ = 1477048320.

The previous prime is 4000344371. The next prime is 4000344421. The reversal of 4000344400 is 44430004.

It can be written as a sum of positive squares in 6 ways, for example, as 54997056 + 3945347344 = 7416^2 + 62812^2 .

It is a super-2 number, since 2×4000344400² = 32005510637222720000, which contains 22 as substring.

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, 379449 + ... + 389848.

Almost surely, 2^4000344400 is an apocalyptic number.

4000344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000344400 is an abundant number, since it is smaller than the sum of its proper divisors (6349790892).

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

4000344400 is a wasteful number, since it uses less digits than its factorization.

4000344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769328 (or 769317 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4000344400 is about 63248.2758658289. The cubic root of 4000344400 is about 1587.4466090709.

Adding to 4000344400 its reverse (44430004), we get a palindrome (4044774404).

The spelling of 4000344400 in words is "four billion, three hundred forty-four thousand, four hundred".