3213112032 has 144 divisors (see below), whose sum is σ = 9987803280. Its totient is φ = 973817856.

The previous prime is 3213111989. The next prime is 3213112037. The reversal of 3213112032 is 2302113123.

3213112032 is a `hidden beast` number, since 321 + 311 + 2 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 3213111996 and 3213112014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213112037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244444 + ... + 257252.

It is an arithmetic number, because the mean of its divisors is an integer number (69359745).

Almost surely, 2^3213112032 is an apocalyptic number.

3213112032 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 3213112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993901640).

3213112032 is an abundant number, since it is smaller than the sum of its proper divisors (6774691248).

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

3213112032 is a wasteful number, since it uses less digits than its factorization.

3213112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12905 (or 12894 counting only the distinct ones).

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

The square root of 3213112032 is about 56684.3191014940. The cubic root of 3213112032 is about 1475.6225707791.

Adding to 3213112032 its reverse (2302113123), we get a palindrome (5515225155).

The spelling of 3213112032 in words is "three billion, two hundred thirteen million, one hundred twelve thousand, thirty-two".