3680160 has 192 divisors, whose sum is σ = 13716864. Its totient is φ = 819200.

The previous prime is 3680153. The next prime is 3680203. The reversal of 3680160 is 610863.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3680160.

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, 89740 + ... + 89780.

It is an arithmetic number, because the mean of its divisors is an integer number (71442).

Almost surely, 2^3680160 is an apocalyptic number.

3680160 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 3680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858432).

3680160 is an abundant number, since it is smaller than the sum of its proper divisors (10036704).

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

3680160 is a wasteful number, since it uses less digits than its factorization.

3680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3680160 is about 1918.3743117546. The cubic root of 3680160 is about 154.3910900744.

The spelling of 3680160 in words is "three million, six hundred eighty thousand, one hundred sixty".