3413114432 has 224 divisors, whose sum is σ = 8769266688. Its totient is φ = 1281982464.

The previous prime is 3413114431. The next prime is 3413114491. The reversal of 3413114432 is 2344113143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (3413114431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10127768 + ... + 10128104.

It is an arithmetic number, because the mean of its divisors is an integer number (39148512).

Almost surely, 2^3413114432 is an apocalyptic number.

3413114432 is a gapful number since it is divisible by the number (32) 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 3413114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384633344).

3413114432 is an abundant number, since it is smaller than the sum of its proper divisors (5356152256).

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

3413114432 is a wasteful number, since it uses less digits than its factorization.

3413114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 3413114432 is about 58421.8660434601. The cubic root of 3413114432 is about 1505.6254589526.

Adding to 3413114432 its reverse (2344113143), we get a palindrome (5757227575).

The spelling of 3413114432 in words is "three billion, four hundred thirteen million, one hundred fourteen thousand, four hundred thirty-two".