3698217894144 has 288 divisors, whose sum is σ = 10311649689600. Its totient is φ = 1175254179840.

The previous prime is 3698217894023. The next prime is 3698217894167. The reversal of 3698217894144 is 4414987128963.

It is an unprimeable number.

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, 957341557 + ... + 957345419.

It is an arithmetic number, because the mean of its divisors is an integer number (35804339200).

Almost surely, 2^{3698217894144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3698217894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155824844800).

3698217894144 is an abundant number, since it is smaller than the sum of its proper divisors (6613431795456).

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

3698217894144 is a wasteful number, since it uses less digits than its factorization.

3698217894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4487 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 66.

The spelling of 3698217894144 in words is "three trillion, six hundred ninety-eight billion, two hundred seventeen million, eight hundred ninety-four thousand, one hundred forty-four".