3411212100 has 144 divisors (see below), whose sum is σ = 10319339520. Its totient is φ = 868982400.

The previous prime is 3411212039. The next prime is 3411212137. The reversal of 3411212100 is 12121143.

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 3411212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732379 + ... + 737021.

It is an arithmetic number, because the mean of its divisors is an integer number (71662080).

Almost surely, 2^3411212100 is an apocalyptic number.

3411212100 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 3411212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159669760).

3411212100 is an abundant number, since it is smaller than the sum of its proper divisors (6908127420).

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

3411212100 is a wasteful number, since it uses less digits than its factorization.

3411212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4763 counting only the distinct ones).

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

The square root of 3411212100 is about 58405.5827811006. The cubic root of 3411212100 is about 1505.3456820468.

Adding to 3411212100 its reverse (12121143), we get a palindrome (3423333243).

The spelling of 3411212100 in words is "three billion, four hundred eleven million, two hundred twelve thousand, one hundred".