3224448000 has 440 divisors, whose sum is σ = 12055421664. Its totient is φ = 857088000.

The previous prime is 3224447977. The next prime is 3224448023. The reversal of 3224448000 is 8444223.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3224447977) and next prime (3224448023).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367845 + ... + 10368155.

Almost surely, 2^3224448000 is an apocalyptic number.

3224448000 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 3224448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027710832).

3224448000 is an abundant number, since it is smaller than the sum of its proper divisors (8830973664).

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

3224448000 is an equidigital number, since it uses as much as digits as its factorization.

3224448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3224448000 is about 56784.2231610154. The cubic root of 3224448000 is about 1477.3558827711.

The spelling of 3224448000 in words is "three billion, two hundred twenty-four million, four hundred forty-eight thousand".