3847072320 has 840 divisors, whose sum is σ = 17217063864. Its totient is φ = 808206336.

The previous prime is 3847072309. The next prime is 3847072331. The reversal of 3847072320 is 232707483.

It is an interprime number because it is at equal distance from previous prime (3847072309) and next prime (3847072331).

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 3843008064 = 2016^2 + 61992^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16510924 + ... + 16511156.

Almost surely, 2^3847072320 is an apocalyptic number.

3847072320 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 3847072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8608531932).

3847072320 is an abundant number, since it is smaller than the sum of its proper divisors (13369991544).

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

3847072320 is a wasteful number, since it uses less digits than its factorization.

3847072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3847072320 is about 62024.7718254570. The cubic root of 3847072320 is about 1566.9078278722.

The spelling of 3847072320 in words is "three billion, eight hundred forty-seven million, seventy-two thousand, three hundred twenty".