3344404440 has 128 divisors (see below), whose sum is σ = 11068747200. Its totient is φ = 803143680.

The previous prime is 3344404417. The next prime is 3344404489. The reversal of 3344404440 is 444044433.

It is a super-2 number, since 2×3344404440² = 22370082116583427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3344404398 and 3344404407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37816 + ... + 90104.

Almost surely, 2^3344404440 is an apocalyptic number.

3344404440 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 3344404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534373600).

3344404440 is an abundant number, since it is smaller than the sum of its proper divisors (7724342760).

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

3344404440 is a wasteful number, since it uses less digits than its factorization.

3344404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52357 (or 52353 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 3344404440 is about 57830.8260359473. The cubic root of 3344404440 is about 1495.4535582785.

Adding to 3344404440 its reverse (444044433), we get a palindrome (3788448873).

It can be divided in two parts, 3 and 344404440, that added together give a palindrome (344404443).

The spelling of 3344404440 in words is "three billion, three hundred forty-four million, four hundred four thousand, four hundred forty".