3683103840 has 288 divisors, whose sum is σ = 13622708736. Its totient is φ = 900771840.

The previous prime is 3683103779. The next prime is 3683103857. The reversal of 3683103840 is 483013863.

It is a happy number.

3683103840 is digitally balanced in base 2 and base 4, because in such bases 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 (288).

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 = 3683103795 and 3683103804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3387777 + ... + 3388863.

It is an arithmetic number, because the mean of its divisors is an integer number (47301072).

Almost surely, 2^3683103840 is an apocalyptic number.

3683103840 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 3683103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811354368).

3683103840 is an abundant number, since it is smaller than the sum of its proper divisors (9939604896).

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

3683103840 is a wasteful number, since it uses less digits than its factorization.

3683103840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1291 counting only the distinct ones).

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

The square root of 3683103840 is about 60688.5808039700. The cubic root of 3683103840 is about 1544.3224603244.

The spelling of 3683103840 in words is "three billion, six hundred eighty-three million, one hundred three thousand, eight hundred forty".