3961600 has 54 divisors (see below), whose sum is σ = 9821420. Its totient is φ = 1582080.

The previous prime is 3961597. The next prime is 3961609. The reversal of 3961600 is 61693.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3961609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6091 + ... + 6709.

Almost surely, 2^3961600 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 3961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910710).

3961600 is an abundant number, since it is smaller than the sum of its proper divisors (5859820).

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

3961600 is an equidigital number, since it uses as much as digits as its factorization.

3961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 3961600 is about 1990.3768487400. The cubic root of 3961600 is about 158.2305026363.

The spelling of 3961600 in words is "three million, nine hundred sixty-one thousand, six hundred".