3963600 has 120 divisors (see below), whose sum is σ = 14145920. Its totient is φ = 1054080.

The previous prime is 3963587. The next prime is 3963607. The reversal of 3963600 is 63693.

3963600 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (120).

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 (3963607) 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, 10617 + ... + 10983.

Almost surely, 2^3963600 is an apocalyptic number.

3963600 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 3963600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072960).

3963600 is an abundant number, since it is smaller than the sum of its proper divisors (10182320).

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

3963600 is a wasteful number, since it uses less digits than its factorization.

3963600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3963600 is about 1990.8792027644. The cubic root of 3963600 is about 158.2571255299.

The spelling of 3963600 in words is "three million, nine hundred sixty-three thousand, six hundred".