3212442624 has 176 divisors, whose sum is σ = 8897277312. Its totient is φ = 1029783552.

The previous prime is 3212442593. The next prime is 3212442677. The reversal of 3212442624 is 4262442123.

It is a super-2 number, since 2×3212442624² = 20639575224984010752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3212442591 and 3212442600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10963822 + ... + 10964114.

It is an arithmetic number, because the mean of its divisors is an integer number (50552712).

Almost surely, 2^3212442624 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 3212442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448638656).

3212442624 is an abundant number, since it is smaller than the sum of its proper divisors (5684834688).

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

3212442624 is a wasteful number, since it uses less digits than its factorization.

3212442624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 424 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 3212442624 is about 56678.4140921392. The cubic root of 3212442624 is about 1475.5200883934.

Adding to 3212442624 its reverse (4262442123), we get a palindrome (7474884747).

The spelling of 3212442624 in words is "three billion, two hundred twelve million, four hundred forty-two thousand, six hundred twenty-four".