3758160 has 80 divisors (see below), whose sum is σ = 13320576. Its totient is φ = 858624.

The previous prime is 3758159. The next prime is 3758189. The reversal of 3758160 is 618573.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562 + ... + 2798.

Almost surely, 2^3758160 is an apocalyptic number.

3758160 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 3758160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660288).

3758160 is an abundant number, since it is smaller than the sum of its proper divisors (9562416).

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

3758160 is a wasteful number, since it uses less digits than its factorization.

3758160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 3758160 is about 1938.5974311342. The cubic root of 3758160 is about 155.4742326248.

The spelling of 3758160 in words is "three million, seven hundred fifty-eight thousand, one hundred sixty".