3969600 has 84 divisors (see below), whose sum is σ = 13039344. Its totient is φ = 1057280.

The previous prime is 3969583. The next prime is 3969601. The reversal of 3969600 is 69693.

It is not an unprimeable number, because it can be changed into a prime (3969601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4387 + ... + 5213.

Almost surely, 2^3969600 is an apocalyptic number.

3969600 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 3969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519672).

3969600 is an abundant number, since it is smaller than the sum of its proper divisors (9069744).

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

3969600 is a wasteful number, since it uses less digits than its factorization.

3969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 3969600 is about 1992.3855048660. The cubic root of 3969600 is about 158.3369405149.

The spelling of 3969600 in words is "three million, nine hundred sixty-nine thousand, six hundred".