3212416032 has 192 divisors, whose sum is σ = 10189670400. Its totient is φ = 865658880.

The previous prime is 3212416021. The next prime is 3212416069. The reversal of 3212416032 is 2306142123.

3212416032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 3212415993 and 3212416011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3970444 + ... + 3971252.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 2^3212416032 is an apocalyptic number.

3212416032 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 3212416032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

3212416032 is an abundant number, since it is smaller than the sum of its proper divisors (6977254368).

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

3212416032 is a wasteful number, since it uses less digits than its factorization.

3212416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3212416032 is about 56678.1795049912. The cubic root of 3212416032 is about 1475.5160170222.

Adding to 3212416032 its reverse (2306142123), we get a palindrome (5518558155).

The spelling of 3212416032 in words is "three billion, two hundred twelve million, four hundred sixteen thousand, thirty-two".