3312414432 has 96 divisors (see below), whose sum is σ = 9672717600. Its totient is φ = 1102823424.

The previous prime is 3312414409. The next prime is 3312414467. The reversal of 3312414432 is 2344142133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 3312414396 and 3312414405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956448 + ... + 959904.

It is an arithmetic number, because the mean of its divisors is an integer number (100757475).

Almost surely, 2^3312414432 is an apocalyptic number.

3312414432 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 3312414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836358800).

3312414432 is an abundant number, since it is smaller than the sum of its proper divisors (6360303168).

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

3312414432 is a wasteful number, since it uses less digits than its factorization.

3312414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4571 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3312414432 is about 57553.5787940246. The cubic root of 3312414432 is about 1490.6701536261.

Adding to 3312414432 its reverse (2344142133), we get a palindrome (5656556565).

The spelling of 3312414432 in words is "three billion, three hundred twelve million, four hundred fourteen thousand, four hundred thirty-two".