3948800 has 54 divisors (see below), whose sum is σ = 9789738. Its totient is φ = 1576960.

The previous prime is 3948781. The next prime is 3948803. The reversal of 3948800 is 88493.

3948800 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 3 ways, for example, as 12544 + 3936256 = 112^2 + 1984^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3948803) 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, 6092 + ... + 6708.

Almost surely, 2^3948800 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 3948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894869).

3948800 is an abundant number, since it is smaller than the sum of its proper divisors (5840938).

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

3948800 is an equidigital number, since it uses as much as digits as its factorization.

3948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 3948800 is about 1987.1587757399. The cubic root of 3948800 is about 158.0599035794.

The spelling of 3948800 in words is "three million, nine hundred forty-eight thousand, eight hundred".