3662838144 has 192 divisors, whose sum is σ = 12492829440. Its totient is φ = 1046462976.

The previous prime is 3662838131. The next prime is 3662838149. The reversal of 3662838144 is 4418382663.

3662838144 is a `hidden beast` number, since 3 + 6 + 628 + 3 + 8 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3662838144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662838149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209317 + ... + 226139.

It is an arithmetic number, because the mean of its divisors is an integer number (65066820).

Almost surely, 2^3662838144 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 3662838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246414720).

3662838144 is an abundant number, since it is smaller than the sum of its proper divisors (8829991296).

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

3662838144 is an equidigital number, since it uses as much as digits as its factorization.

3662838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16859 (or 16835 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3662838144 is about 60521.3858400483. The cubic root of 3662838144 is about 1541.4847860127.

The spelling of 3662838144 in words is "three billion, six hundred sixty-two million, eight hundred thirty-eight thousand, one hundred forty-four".