3903804144 has 120 divisors (see below), whose sum is σ = 11897043600. Its totient is φ = 1190246400.

The previous prime is 3903804097. The next prime is 3903804169. The reversal of 3903804144 is 4414083093.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3903804099 and 3903804108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54744 + ... + 103944.

It is an arithmetic number, because the mean of its divisors is an integer number (99142030).

Almost surely, 2^3903804144 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 3903804144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948521800).

3903804144 is an abundant number, since it is smaller than the sum of its proper divisors (7993239456).

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

3903804144 is a wasteful number, since it uses less digits than its factorization.

3903804144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49263 (or 49254 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3903804144 is about 62480.4300881484. The cubic root of 3903804144 is about 1574.5725412912.

The spelling of 3903804144 in words is "three billion, nine hundred three million, eight hundred four thousand, one hundred forty-four".