3854718720 has 432 divisors, whose sum is σ = 14664555360. Its totient is φ = 967458816.

The previous prime is 3854718713. The next prime is 3854718761. The reversal of 3854718720 is 278174583.

3854718720 is a `hidden beast` number, since 3 + 8 + 547 + 1 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 226748152 + ... + 226748168.

It is an arithmetic number, because the mean of its divisors is an integer number (33945730).

Almost surely, 2^3854718720 is an apocalyptic number.

3854718720 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 3854718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332277680).

3854718720 is an abundant number, since it is smaller than the sum of its proper divisors (10809836640).

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

3854718720 is an frugal number, since it uses more digits than its factorization.

3854718720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 3854718720 is about 62086.3811153461. The cubic root of 3854718720 is about 1567.9452639507.

The spelling of 3854718720 in words is "three billion, eight hundred fifty-four million, seven hundred eighteen thousand, seven hundred twenty".