3212136000 has 280 divisors, whose sum is σ = 11885575416. Its totient is φ = 856396800.

The previous prime is 3212135981. The next prime is 3212136017. The reversal of 3212136000 is 6312123.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 3210808896 = 1152^2 + 56664^2 .

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 645522 + ... + 650478.

Almost surely, 2^3212136000 is an apocalyptic number.

3212136000 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 3212136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942787708).

3212136000 is an abundant number, since it is smaller than the sum of its proper divisors (8673439416).

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

3212136000 is an equidigital number, since it uses as much as digits as its factorization.

3212136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3212136000 is about 56675.7090824632. The cubic root of 3212136000 is about 1475.4731413274.

Adding to 3212136000 its reverse (6312123), we get a palindrome (3218448123).

It can be divided in two parts, 32121 and 36000, that added together give a square (68121 = 261²).

The spelling of 3212136000 in words is "three billion, two hundred twelve million, one hundred thirty-six thousand".