3901800 has 96 divisors (see below), whose sum is σ = 13838400. Its totient is φ = 890880.

The previous prime is 3901787. The next prime is 3901801. The reversal of 3901800 is 81093.

3901800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3901801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3736 + ... + 4664.

It is an arithmetic number, because the mean of its divisors is an integer number (144150).

Almost surely, 2^3901800 is an apocalyptic number.

3901800 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 3901800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919200).

3901800 is an abundant number, since it is smaller than the sum of its proper divisors (9936600).

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

3901800 is a wasteful number, since it uses less digits than its factorization.

3901800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 3901800 is about 1975.2974459559. The cubic root of 3901800 is about 157.4303042603.

Adding to 3901800 its sum of digits (21), we get a triangular number (3901821 = T₂₇₉₃).

Adding to 3901800 its reverse (81093), we get a palindrome (3982893).

The spelling of 3901800 in words is "three million, nine hundred one thousand, eight hundred".