3212352000 has 960 divisors, whose sum is σ = 14018209920. Its totient is φ = 718848000.

The previous prime is 3212351993. The next prime is 3212352041. The reversal of 3212352000 is 2532123.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247103994 + ... + 247104006.

It is an arithmetic number, because the mean of its divisors is an integer number (14602302).

Almost surely, 2^3212352000 is an apocalyptic number.

3212352000 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 3212352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009104960).

3212352000 is an abundant number, since it is smaller than the sum of its proper divisors (10805857920).

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

3212352000 is a wasteful number, since it uses less digits than its factorization.

3212352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3212352000 is about 56677.6146287050. The cubic root of 3212352000 is about 1475.5062133035.

3212352000 divided by its product of nonzero digits (360) gives a triangular number (8923200 = T₄₂₂₄).

Adding to 3212352000 its reverse (2532123), we get a palindrome (3214884123).

The spelling of 3212352000 in words is "three billion, two hundred twelve million, three hundred fifty-two thousand".