3446114100 has 144 divisors (see below), whose sum is σ = 11714041920. Its totient is φ = 771148800.

The previous prime is 3446114099. The next prime is 3446114117. The reversal of 3446114100 is 14116443.

It is a congruent number.

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, 2736 + ... + 83064.

Almost surely, 2^3446114100 is an apocalyptic number.

3446114100 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 3446114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857020960).

3446114100 is an abundant number, since it is smaller than the sum of its proper divisors (8267927820).

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

3446114100 is a wasteful number, since it uses less digits than its factorization.

3446114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80370 (or 80363 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3446114100 is about 58703.6123249669. The cubic root of 3446114100 is about 1510.4622796995.

The spelling of 3446114100 in words is "three billion, four hundred forty-six million, one hundred fourteen thousand, one hundred".