3212428800 has 960 divisors, whose sum is σ = 13882682880. Its totient is φ = 637009920.

The previous prime is 3212428799. The next prime is 3212428801. The reversal of 3212428800 is 88242123.

3212428800 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 (3212428799) and next prime (3212428801).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212428801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86822382 + ... + 86822418.

It is an arithmetic number, because the mean of its divisors is an integer number (14461128).

Almost surely, 2^3212428800 is an apocalyptic number.

3212428800 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 3212428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941341440).

3212428800 is an abundant number, since it is smaller than the sum of its proper divisors (10670254080).

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

3212428800 is a wasteful number, since it uses less digits than its factorization.

3212428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 3212428800 is about 56678.2921408188. The cubic root of 3212428800 is about 1475.5179718711.

The spelling of 3212428800 in words is "three billion, two hundred twelve million, four hundred twenty-eight thousand, eight hundred".