3853422720 has 960 divisors, whose sum is σ = 16841646360. Its totient is φ = 836075520.

The previous prime is 3853422709. The next prime is 3853422721. The reversal of 3853422720 is 272243583.

3853422720 is a `hidden beast` number, since 38 + 534 + 22 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2908229184 + 945193536 = 53928^2 + 30744^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×3853422720⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853422721) 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 119 ways as a sum of consecutive naturals, for example, 93985900 + ... + 93985940.

It is a vampire number, since it can be written as 53280 ⋅ 72324 (with its own digits).

Almost surely, 2^3853422720 is an apocalyptic number.

3853422720 is a gapful number since it is divisible by the number (30) 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 3853422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420823180).

3853422720 is an abundant number, since it is smaller than the sum of its proper divisors (12988223640).

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

3853422720 is a wasteful number, since it uses less digits than its factorization.

3853422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3853422720 is about 62075.9431664151. The cubic root of 3853422720 is about 1567.7695239477.

The spelling of 3853422720 in words is "three billion, eight hundred fifty-three million, four hundred twenty-two thousand, seven hundred twenty".