3538476576 has 144 divisors (see below), whose sum is σ = 10530190944. Its totient is φ = 1168763904.

The previous prime is 3538476563. The next prime is 3538476619. The reversal of 3538476576 is 6756748353.

3538476576 is a `hidden beast` number, since 3 + 538 + 47 + 65 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876675 + ... + 880701.

It is an arithmetic number, because the mean of its divisors is an integer number (73126326).

Almost surely, 2^3538476576 is an apocalyptic number.

3538476576 is a gapful number since it is divisible by the number (36) 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 3538476576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265095472).

3538476576 is an abundant number, since it is smaller than the sum of its proper divisors (6991714368).

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

3538476576 is a wasteful number, since it uses less digits than its factorization.

3538476576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4145 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 3538476576 is about 59485.0954105312. The cubic root of 3538476576 is about 1523.8379144378.

The spelling of 3538476576 in words is "three billion, five hundred thirty-eight million, four hundred seventy-six thousand, five hundred seventy-six".