3921600 has 168 divisors, whose sum is σ = 13858240. Its totient is φ = 967680.

The previous prime is 3921559. The next prime is 3921601. The reversal of 3921600 is 61293.

It is not an unprimeable number, because it can be changed into a prime (3921601) 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, 91179 + ... + 91221.

Almost surely, 2^3921600 is an apocalyptic number.

3921600 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 3921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929120).

3921600 is an abundant number, since it is smaller than the sum of its proper divisors (9936640).

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

3921600 is a wasteful number, since it uses less digits than its factorization.

3921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 3921600 is about 1980.3030071179. The cubic root of 3921600 is about 157.6961526847.

Adding to 3921600 its reverse (61293), we get a palindrome (3982893).

The spelling of 3921600 in words is "three million, nine hundred twenty-one thousand, six hundred".