3210725364000 has 1536 divisors, whose sum is σ = 13450364928000. Its totient is φ = 650280960000.

The previous prime is 3210725363981. The next prime is 3210725364023. The reversal of 3210725364000 is 4635270123.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7150835776 + ... + 7150836224.

It is an arithmetic number, because the mean of its divisors is an integer number (8756748000).

Almost surely, 2^{3210725364000} is an apocalyptic number.

3210725364000 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 3210725364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725182464000).

3210725364000 is an abundant number, since it is smaller than the sum of its proper divisors (10239639564000).

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

3210725364000 is a wasteful number, since it uses less digits than its factorization.

3210725364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 3210725364000 in words is "three trillion, two hundred ten billion, seven hundred twenty-five million, three hundred sixty-four thousand".