3213344736 has 240 divisors, whose sum is σ = 10940706000. Its totient is φ = 917505792.

The previous prime is 3213344683. The next prime is 3213344749. The reversal of 3213344736 is 6374433123.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3213344736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2073690 + ... + 2075238.

It is an arithmetic number, because the mean of its divisors is an integer number (45586275).

Almost surely, 2^3213344736 is an apocalyptic number.

3213344736 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 3213344736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470353000).

3213344736 is an abundant number, since it is smaller than the sum of its proper divisors (7727361264).

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

3213344736 is an equidigital number, since it uses as much as digits as its factorization.

3213344736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1561 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 3213344736 is about 56686.3716954966. The cubic root of 3213344736 is about 1475.6581930441.

Adding to 3213344736 its reverse (6374433123), we get a palindrome (9587777859).

The spelling of 3213344736 in words is "three billion, two hundred thirteen million, three hundred forty-four thousand, seven hundred thirty-six".