3867320160 has 384 divisors, whose sum is σ = 14936140800. Its totient is φ = 926760960.

The previous prime is 3867320159. The next prime is 3867320161. The reversal of 3867320160 is 610237683.

It is a happy number.

3867320160 is a `hidden beast` number, since 386 + 73 + 201 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3867320159) and next prime (3867320161).

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 (3867320161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4609021 + ... + 4609859.

It is an arithmetic number, because the mean of its divisors is an integer number (38896200).

Almost surely, 2^3867320160 is an apocalyptic number.

3867320160 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 3867320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468070400).

3867320160 is an abundant number, since it is smaller than the sum of its proper divisors (11068820640).

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

3867320160 is a wasteful number, since it uses less digits than its factorization.

3867320160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3867320160 is about 62187.7814365491. The cubic root of 3867320160 is about 1569.6519925917.

The spelling of 3867320160 in words is "three billion, eight hundred sixty-seven million, three hundred twenty thousand, one hundred sixty".