3801600 has 240 divisors, whose sum is σ = 15222240. Its totient is φ = 921600.

The previous prime is 3801599. The next prime is 3801617. The reversal of 3801600 is 61083.

3801600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345595 + ... + 345605.

It is an arithmetic number, because the mean of its divisors is an integer number (63426).

Almost surely, 2^3801600 is an apocalyptic number.

3801600 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 3801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611120).

3801600 is an abundant number, since it is smaller than the sum of its proper divisors (11420640).

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

3801600 is a wasteful number, since it uses less digits than its factorization.

3801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3801600 is about 1949.7692171126. The cubic root of 3801600 is about 156.0709736222.

Adding to 3801600 its reverse (61083), we get a palindrome (3862683).

The spelling of 3801600 in words is "three million, eight hundred one thousand, six hundred".