3344424000 has 224 divisors, whose sum is σ = 11102961792. Its totient is φ = 887040000.

The previous prime is 3344423963. The next prime is 3344424037. The reversal of 3344424000 is 4244433.

It is a happy number.

3344424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3344423963) and next prime (3344424037).

It is a super-2 number, since 2×3344424000² = 22370343783552000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7943790 + ... + 7944210.

Almost surely, 2^3344424000 is an apocalyptic number.

3344424000 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 3344424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551480896).

3344424000 is an abundant number, since it is smaller than the sum of its proper divisors (7758537792).

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

3344424000 is a wasteful number, since it uses less digits than its factorization.

3344424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3344424000 is about 57830.9951496600. The cubic root of 3344424000 is about 1495.4564736969.

Adding to 3344424000 its reverse (4244433), we get a palindrome (3348668433).

The spelling of 3344424000 in words is "three billion, three hundred forty-four million, four hundred twenty-four thousand".