3801360 has 80 divisors (see below), whose sum is σ = 12070656. Its totient is φ = 989184.

The previous prime is 3801359. The next prime is 3801361. The reversal of 3801360 is 631083.

3801360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3801359) and next prime (3801361).

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

It is not an unprimeable number, because it can be changed into a prime (3801361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11112 + ... + 11448.

Almost surely, 2^3801360 is an apocalyptic number.

3801360 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 3801360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035328).

3801360 is an abundant number, since it is smaller than the sum of its proper divisors (8269296).

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

3801360 is a wasteful number, since it uses less digits than its factorization.

3801360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3801360 is about 1949.7076703957. The cubic root of 3801360 is about 156.0676892312.

The spelling of 3801360 in words is "three million, eight hundred one thousand, three hundred sixty".