3996000 has 192 divisors, whose sum is σ = 14938560. Its totient is φ = 1036800.

The previous prime is 3995989. The next prime is 3996007. The reversal of 3996000 is 6993.

It is a Cunningham number, because it is equal to 1999²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996007) 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, 107982 + ... + 108018.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

Almost surely, 2^3996000 is an apocalyptic number.

3996000 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 3996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

3996000 is an abundant number, since it is smaller than the sum of its proper divisors (10942560).

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

3996000 is a wasteful number, since it uses less digits than its factorization.

3996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3996000 is about 1998.9997498749. Note that the first 3 decimals coincide. The cubic root of 3996000 is about 158.6871741808.

The spelling of 3996000 in words is "three million, nine hundred ninety-six thousand".