3213180828 has 288 divisors, whose sum is σ = 9906624000. Its totient is φ = 865267200.

The previous prime is 3213180827. The next prime is 3213180833. The reversal of 3213180828 is 8280813123.

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 = 3213180792 and 3213180801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213180823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21564898 + ... + 21565046.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2^3213180828 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 3213180828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312000).

3213180828 is an abundant number, since it is smaller than the sum of its proper divisors (6693443172).

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

3213180828 is a wasteful number, since it uses less digits than its factorization.

3213180828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3213180828 is about 56684.9259327381. The cubic root of 3213180828 is about 1475.6331022311.

It can be divided in two parts, 3213 and 180828, that added together give a square (184041 = 429²).

The spelling of 3213180828 in words is "three billion, two hundred thirteen million, one hundred eighty thousand, eight hundred twenty-eight".