3538804320 has 288 divisors, whose sum is σ = 13135475808. Its totient is φ = 863944704.

The previous prime is 3538804309. The next prime is 3538804361. The reversal of 3538804320 is 234088353.

3538804320 is a `hidden beast` number, since 3 + 538 + 80 + 43 + 2 + 0 = 666.

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 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, 903807 + ... + 907713.

It is an arithmetic number, because the mean of its divisors is an integer number (45609291).

Almost surely, 2^3538804320 is an apocalyptic number.

3538804320 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 3538804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567737904).

3538804320 is an abundant number, since it is smaller than the sum of its proper divisors (9596671488).

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

3538804320 is a wasteful number, since it uses less digits than its factorization.

3538804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3538804320 is about 59487.8501880846. The cubic root of 3538804320 is about 1523.8849604197.

The spelling of 3538804320 in words is "three billion, five hundred thirty-eight million, eight hundred four thousand, three hundred twenty".