3847680 has 120 divisors (see below), whose sum is σ = 13405392. Its totient is φ = 1019904.

The previous prime is 3847673. The next prime is 3847687. The reversal of 3847680 is 867483.

It is an interprime number because it is at equal distance from previous prime (3847673) and next prime (3847687).

It is a tau number, because it is divible by the number of its divisors (120).

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 (3847687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22957 + ... + 23123.

Almost surely, 2^3847680 is an apocalyptic number.

3847680 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 3847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702696).

3847680 is an abundant number, since it is smaller than the sum of its proper divisors (9557712).

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

3847680 is a wasteful number, since it uses less digits than its factorization.

3847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3847680 is about 1961.5504072034. The cubic root of 3847680 is about 156.6990325968.

The spelling of 3847680 in words is "three million, eight hundred forty-seven thousand, six hundred eighty".