3893760 has 180 divisors, whose sum is σ = 14602302. Its totient is φ = 958464.

The previous prime is 3893759. The next prime is 3893819. The reversal of 3893760 is 673983.

It can be written as a sum of positive squares in 3 ways, for example, as 1679616 + 2214144 = 1296^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3893760² = 30322733875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 299514 + ... + 299526.

Almost surely, 2^3893760 is an apocalyptic number.

3893760 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 3893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301151).

3893760 is an abundant number, since it is smaller than the sum of its proper divisors (10708542).

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

3893760 is a wasteful number, since it uses less digits than its factorization.

3893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3893760 is about 1973.2612599451. The cubic root of 3893760 is about 157.3220969345.

The spelling of 3893760 in words is "three million, eight hundred ninety-three thousand, seven hundred sixty".