3219216000 has 1024 divisors, whose sum is σ = 14542295040. Its totient is φ = 608256000.

The previous prime is 3219215971. The next prime is 3219216023. The reversal of 3219216000 is 6129123.

3219216000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48047967 + ... + 48048033.

It is an arithmetic number, because the mean of its divisors is an integer number (14201460).

Almost surely, 2^3219216000 is an apocalyptic number.

3219216000 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 3219216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271147520).

3219216000 is an abundant number, since it is smaller than the sum of its proper divisors (11323079040).

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

3219216000 is a wasteful number, since it uses less digits than its factorization.

3219216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 3219216000 is about 56738.1353236075. The cubic root of 3219216000 is about 1476.5563960163.

The spelling of 3219216000 in words is "three billion, two hundred nineteen million, two hundred sixteen thousand".