3498618816 has 504 divisors, whose sum is σ = 13009351680. Its totient is φ = 888652800.

The previous prime is 3498618793. The next prime is 3498618829. The reversal of 3498618816 is 6188168943.

3498618816 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 618 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 18317281 + ... + 18317471.

Almost surely, 2^3498618816 is an apocalyptic number.

3498618816 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 3498618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504675840).

3498618816 is an abundant number, since it is smaller than the sum of its proper divisors (9510732864).

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

3498618816 is a wasteful number, since it uses less digits than its factorization.

3498618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 3498618816 is about 59149.1235438024. The cubic root of 3498618816 is about 1518.0947411798.

The spelling of 3498618816 in words is "three billion, four hundred ninety-eight million, six hundred eighteen thousand, eight hundred sixteen".