3414412100 has 144 divisors (see below), whose sum is σ = 8879431680. Its totient is φ = 1124956800.

The previous prime is 3414412097. The next prime is 3414412117. The reversal of 3414412100 is 12144143.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 477149 + ... + 484251.

It is an arithmetic number, because the mean of its divisors is an integer number (61662720).

Almost surely, 2^3414412100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439715840).

3414412100 is an abundant number, since it is smaller than the sum of its proper divisors (5465019580).

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

3414412100 is a wasteful number, since it uses less digits than its factorization.

3414412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3414412100 is about 58432.9710009683. The cubic root of 3414412100 is about 1505.8162479868.

Adding to 3414412100 its reverse (12144143), we get a palindrome (3426556243).

It can be divided in two parts, 3414 and 412100, that added together give a palindrome (415514).

The spelling of 3414412100 in words is "three billion, four hundred fourteen million, four hundred twelve thousand, one hundred".