3854214144 has 704 divisors, whose sum is σ = 14148864000. Its totient is φ = 1021870080.

The previous prime is 3854214137. The next prime is 3854214149. The reversal of 3854214144 is 4414124583.

3854214144 is a `hidden beast` number, since 38 + 542 + 1 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a junction number, because it is equal to n+sod(n) for n = 3854214099 and 3854214108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3854214149) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 132903922 + ... + 132903950.

Almost surely, 2^3854214144 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 3854214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074432000).

3854214144 is an abundant number, since it is smaller than the sum of its proper divisors (10294649856).

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

3854214144 is a wasteful number, since it uses less digits than its factorization.

3854214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 3854214144 is about 62082.3174825167. The cubic root of 3854214144 is about 1567.8768471929.

The spelling of 3854214144 in words is "three billion, eight hundred fifty-four million, two hundred fourteen thousand, one hundred forty-four".