3812160 has 168 divisors, whose sum is σ = 13935456. Its totient is φ = 875520.

The previous prime is 3812153. The next prime is 3812177. The reversal of 3812160 is 612183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200631 + ... + 200649.

Almost surely, 2^3812160 is an apocalyptic number.

3812160 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 3812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967728).

3812160 is an abundant number, since it is smaller than the sum of its proper divisors (10123296).

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

3812160 is a wasteful number, since it uses less digits than its factorization.

3812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 3812160 is about 1952.4753519571. The cubic root of 3812160 is about 156.2153501833.

The spelling of 3812160 in words is "three million, eight hundred twelve thousand, one hundred sixty".