3211231132032 has 512 divisors, whose sum is σ = 10837170662400. Its totient is φ = 818270208000.

The previous prime is 3211231131989. The next prime is 3211231132061. The reversal of 3211231132032 is 2302311321123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3211231131993 and 3211231132011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759333694 + ... + 759337922.

It is an arithmetic number, because the mean of its divisors is an integer number (21166348950).

Almost surely, 2^{3211231132032} is an apocalyptic number.

3211231132032 is a gapful number since it is divisible by the number (32) 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 3211231132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418585331200).

3211231132032 is an abundant number, since it is smaller than the sum of its proper divisors (7625939530368).

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

3211231132032 is a wasteful number, since it uses less digits than its factorization.

3211231132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3211231132032 its reverse (2302311321123), we get a palindrome (5513542453155).

The spelling of 3211231132032 in words is "three trillion, two hundred eleven billion, two hundred thirty-one million, one hundred thirty-two thousand, thirty-two".