3224640000 has 200 divisors, whose sum is σ = 10738062720. Its totient is φ = 859648000.

The previous prime is 3224639993. The next prime is 3224640031. The reversal of 3224640000 is 464223.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 958321 + ... + 961679.

Almost surely, 2^3224640000 is an apocalyptic number.

3224640000 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 3224640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369031360).

3224640000 is an abundant number, since it is smaller than the sum of its proper divisors (7513422720).

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

3224640000 is an frugal number, since it uses more digits than its factorization.

3224640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3224640000 is about 56785.9137462804. The cubic root of 3224640000 is about 1477.3852052784.

The spelling of 3224640000 in words is "three billion, two hundred twenty-four million, six hundred forty thousand".