3412112100 has 144 divisors (see below), whose sum is σ = 10332672000. Its totient is φ = 867715200.

The previous prime is 3412112071. The next prime is 3412112153. The reversal of 3412112100 is 12112143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3412112100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3442605 + ... + 3443595.

Almost surely, 2^3412112100 is an apocalyptic number.

3412112100 is a gapful number since it is divisible by the number (30) 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 3412112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166336000).

3412112100 is an abundant number, since it is smaller than the sum of its proper divisors (6920559900).

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

3412112100 is a wasteful number, since it uses less digits than its factorization.

3412112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 3412112100 is about 58413.2870158836. The cubic root of 3412112100 is about 1505.4780584516.

Adding to 3412112100 its reverse (12112143), we get a palindrome (3424224243).

The spelling of 3412112100 in words is "three billion, four hundred twelve million, one hundred twelve thousand, one hundred".