3418043616 has 384 divisors, whose sum is σ = 11400238080. Its totient is φ = 988416000.

The previous prime is 3418043591. The next prime is 3418043621. The reversal of 3418043616 is 6163408143.

It is a happy number.

3418043616 is a `hidden beast` number, since 34 + 1 + 8 + 0 + 4 + 3 + 616 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 26091871 + ... + 26092001.

It is an arithmetic number, because the mean of its divisors is an integer number (29688120).

Almost surely, 2^3418043616 is an apocalyptic number.

3418043616 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 3418043616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700119040).

3418043616 is an abundant number, since it is smaller than the sum of its proper divisors (7982194464).

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

3418043616 is a wasteful number, since it uses less digits than its factorization.

3418043616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3418043616 is about 58464.0369458011. The cubic root of 3418043616 is about 1506.3499131373.

The spelling of 3418043616 in words is "three billion, four hundred eighteen million, forty-three thousand, six hundred sixteen".