3213083538 has 128 divisors (see below), whose sum is σ = 8748311040. Its totient is φ = 863882496.

The previous prime is 3213083527. The next prime is 3213083563. The reversal of 3213083538 is 8353803123.

3213083538 is a `hidden beast` number, since 32 + 13 + 0 + 83 + 538 = 666.

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 63 ways as a sum of consecutive naturals, for example, 517420 + ... + 523592.

It is an arithmetic number, because the mean of its divisors is an integer number (68346180).

Almost surely, 2^3213083538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213083538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374155520).

3213083538 is an abundant number, since it is smaller than the sum of its proper divisors (5535227502).

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

3213083538 is an equidigital number, since it uses as much as digits as its factorization.

3213083538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3213083538 is about 56684.0677615854. The cubic root of 3213083538 is about 1475.6182088071.

The spelling of 3213083538 in words is "three billion, two hundred thirteen million, eighty-three thousand, five hundred thirty-eight".