3201156000 has 288 divisors, whose sum is σ = 12984910848. Its totient is φ = 731635200.

The previous prime is 3201155999. The next prime is 3201156001. The reversal of 3201156000 is 6511023.

It is an interprime number because it is at equal distance from previous prime (3201155999) and next prime (3201156001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201156001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 245649 + ... + 258351.

It is an arithmetic number, because the mean of its divisors is an integer number (45086496).

Almost surely, 2^3201156000 is an apocalyptic number.

3201156000 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 3201156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492455424).

3201156000 is an abundant number, since it is smaller than the sum of its proper divisors (9783754848).

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

3201156000 is a wasteful number, since it uses less digits than its factorization.

3201156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12741 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3201156000 is about 56578.7592652932. The cubic root of 3201156000 is about 1473.7900256100.

Adding to 3201156000 its reverse (6511023), we get a palindrome (3207667023).

It can be divided in two parts, 3201 and 156000, that added together give a square (159201 = 399²).

The spelling of 3201156000 in words is "three billion, two hundred one million, one hundred fifty-six thousand".