3993360 has 80 divisors (see below), whose sum is σ = 14153856. Its totient is φ = 912384.

The previous prime is 3993343. The next prime is 3993377. The reversal of 3993360 is 633993.

It is an interprime number because it is at equal distance from previous prime (3993343) and next prime (3993377).

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

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, 492 + ... + 2868.

Almost surely, 2^3993360 is an apocalyptic number.

3993360 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 3993360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076928).

3993360 is an abundant number, since it is smaller than the sum of its proper divisors (10160496).

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

3993360 is a wasteful number, since it uses less digits than its factorization.

3993360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 33.

The square root of 3993360 is about 1998.3393105276. The cubic root of 3993360 is about 158.6522203577.

It can be divided in two parts, 39933 and 60, that added together give a palindrome (39993).

The spelling of 3993360 in words is "three million, nine hundred ninety-three thousand, three hundred sixty".