3856367520 has 144 divisors (see below), whose sum is σ = 13260959712. Its totient is φ = 1020464640.

The previous prime is 3856367491. The next prime is 3856367521. The reversal of 3856367520 is 257636583.

3856367520 is a `hidden beast` number, since 3 + 8 + 5 + 63 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3856367521) 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, 178419 + ... + 198861.

It is an arithmetic number, because the mean of its divisors is an integer number (92089998).

Almost surely, 2^3856367520 is an apocalyptic number.

3856367520 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 3856367520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630479856).

3856367520 is an abundant number, since it is smaller than the sum of its proper divisors (9404592192).

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

3856367520 is a wasteful number, since it uses less digits than its factorization.

3856367520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20595 (or 20584 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 3856367520 is about 62099.6579700726. The cubic root of 3856367520 is about 1568.1687873626.

The spelling of 3856367520 in words is "three billion, eight hundred fifty-six million, three hundred sixty-seven thousand, five hundred twenty".