3969000 has 240 divisors, whose sum is σ = 16138980. Its totient is φ = 907200.

The previous prime is 3968983. The next prime is 3969001. The reversal of 3969000 is 9693.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 1285956 = 1638^2 + 1134^2 .

It is a super-2 number, since 2×3969000² = 31505922000000, which contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (3969001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 566997 + ... + 567003.

Almost surely, 2^3969000 is an apocalyptic number.

3969000 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 3969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069490).

3969000 is an abundant number, since it is smaller than the sum of its proper divisors (12169980).

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

3969000 is a wasteful number, since it uses less digits than its factorization.

3969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

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

The square root of 3969000 is about 1992.2349259061. The cubic root of 3969000 is about 158.3289626371.

The spelling of 3969000 in words is "three million, nine hundred sixty-nine thousand".