3314042100 has 180 divisors, whose sum is σ = 10880900800. Its totient is φ = 872389440.

The previous prime is 3314042087. The next prime is 3314042107. The reversal of 3314042100 is 12404133.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314042107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 637311 + ... + 642489.

Almost surely, 2^3314042100 is an apocalyptic number.

3314042100 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 3314042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440450400).

3314042100 is an abundant number, since it is smaller than the sum of its proper divisors (7566858700).

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

3314042100 is a wasteful number, since it uses less digits than its factorization.

3314042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3314042100 is about 57567.7175159829. The cubic root of 3314042100 is about 1490.9142775472.

Adding to 3314042100 its reverse (12404133), we get a palindrome (3326446233).

The spelling of 3314042100 in words is "three billion, three hundred fourteen million, forty-two thousand, one hundred".