3878160 has 160 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 860160.

The previous prime is 3878143. The next prime is 3878177. The reversal of 3878160 is 618783.

It is an interprime number because it is at equal distance from previous prime (3878143) and next prime (3878177).

It is a super-3 number, since 3×3878160³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34264 + ... + 34376.

Almost surely, 2^3878160 is an apocalyptic number.

3878160 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 3878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

3878160 is an abundant number, since it is smaller than the sum of its proper divisors (10370928).

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

3878160 is a wasteful number, since it uses less digits than its factorization.

3878160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 3878160 is about 1969.3044457371. The cubic root of 3878160 is about 157.1117167732. Note that the first 3 decimals are identical.

The spelling of 3878160 in words is "three million, eight hundred seventy-eight thousand, one hundred sixty".