3864084480 has 240 divisors, whose sum is σ = 13746411840. Its totient is φ = 1029832704.

The previous prime is 3864084457. The next prime is 3864084493. The reversal of 3864084480 is 844804683.

3864084480 is a `hidden beast` number, since 38 + 64 + 0 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×3864084480³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2210967 + ... + 2212713.

It is an arithmetic number, because the mean of its divisors is an integer number (57276716).

Almost surely, 2^3864084480 is an apocalyptic number.

3864084480 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 3864084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873205920).

3864084480 is an abundant number, since it is smaller than the sum of its proper divisors (9882327360).

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

3864084480 is an equidigital number, since it uses as much as digits as its factorization.

3864084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3864084480 is about 62161.7605928275. The cubic root of 3864084480 is about 1569.2141089527.

The spelling of 3864084480 in words is "three billion, eight hundred sixty-four million, eighty-four thousand, four hundred eighty".