3212388287136 has 960 divisors, whose sum is σ = 11830115404800. Its totient is φ = 834675093504.

The previous prime is 3212388287111. The next prime is 3212388287177. The reversal of 3212388287136 is 6317828832123.

3212388287136 is a `hidden beast` number, since 32 + 123 + 88 + 287 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 874593396 + ... + 874597068.

It is an arithmetic number, because the mean of its divisors is an integer number (12323036880).

Almost surely, 2^{3212388287136} is an apocalyptic number.

3212388287136 is a gapful number since it is divisible by the number (36) 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 3212388287136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915057702400).

3212388287136 is an abundant number, since it is smaller than the sum of its proper divisors (8617727117664).

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

3212388287136 is a wasteful number, since it uses less digits than its factorization.

3212388287136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3806 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 3212388287136 in words is "three trillion, two hundred twelve billion, three hundred eighty-eight million, two hundred eighty-seven thousand, one hundred thirty-six".