3401418816 has 168 divisors, whose sum is σ = 10157810520. Its totient is φ = 1086898176.

The previous prime is 3401418791. The next prime is 3401418829. The reversal of 3401418816 is 6188141043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1289097216 + 2112321600 = 35904^2 + 45960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2621880 + ... + 2623176.

Almost surely, 2^3401418816 is an apocalyptic number.

3401418816 is a gapful number since it is divisible by the number (36) 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 3401418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078905260).

3401418816 is an abundant number, since it is smaller than the sum of its proper divisors (6756391704).

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

3401418816 is a wasteful number, since it uses less digits than its factorization.

3401418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3401418816 is about 58321.6839263065. The cubic root of 3401418816 is about 1503.9037304458.

Adding to 3401418816 its reverse (6188141043), we get a palindrome (9589559859).

The spelling of 3401418816 in words is "three billion, four hundred one million, four hundred eighteen thousand, eight hundred sixteen".