3698948189664 has 1152 divisors, whose sum is σ = 13757474045952. Its totient is φ = 916617461760.

The previous prime is 3698948189647. The next prime is 3698948189669. The reversal of 3698948189664 is 4669818498963.

3698948189664 is a `hidden beast` number, since 369 + 8 + 94 + 81 + 8 + 96 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3698948189669) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5995053484 + ... + 5995054100.

It is an arithmetic number, because the mean of its divisors is an integer number (11942251776).

Almost surely, 2^{3698948189664} 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 3698948189664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878737022976).

3698948189664 is an abundant number, since it is smaller than the sum of its proper divisors (10058525856288).

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

3698948189664 is a wasteful number, since it uses less digits than its factorization.

3698948189664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 877 counting only the distinct ones).

The product of its digits is 3869835264, while the sum is 81.

It can be divided in two parts, 369894 and 8189664, that added together give a palindrome (8559558).

The spelling of 3698948189664 in words is "three trillion, six hundred ninety-eight billion, nine hundred forty-eight million, one hundred eighty-nine thousand, six hundred sixty-four".