3993420 has 96 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 967680.

The previous prime is 3993397. The next prime is 3993427. The reversal of 3993420 is 243993.

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

It is not an unprimeable number, because it can be changed into a prime (3993427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35284 + ... + 35396.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 2^3993420 is an apocalyptic number.

3993420 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 3993420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

3993420 is an abundant number, since it is smaller than the sum of its proper divisors (8263860).

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

3993420 is a wasteful number, since it uses less digits than its factorization.

3993420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3993420 is about 1998.3543229368. The cubic root of 3993420 is about 158.6530149338.

The spelling of 3993420 in words is "three million, nine hundred ninety-three thousand, four hundred twenty".