3967600 has 120 divisors (see below), whose sum is σ = 11839520. Its totient is φ = 1244160.

The previous prime is 3967571. The next prime is 3967609. The reversal of 3967600 is 67693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36346 + ... + 36454.

Almost surely, 2^3967600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3967600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919760).

3967600 is an abundant number, since it is smaller than the sum of its proper divisors (7871920).

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

3967600 is a wasteful number, since it uses less digits than its factorization.

3967600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 3967600 is about 1991.8835307317. The cubic root of 3967600 is about 158.3103444617.

The spelling of 3967600 in words is "three million, nine hundred sixty-seven thousand, six hundred".