3212386848 has 288 divisors, whose sum is σ = 10633109760. Its totient is φ = 909688320.

The previous prime is 3212386843. The next prime is 3212386871. The reversal of 3212386848 is 8486832123.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3212386848² = 20638858522406750208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3212386843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4995615 + ... + 4996257.

It is an arithmetic number, because the mean of its divisors is an integer number (36920520).

Almost surely, 2^3212386848 is an apocalyptic number.

3212386848 is a gapful number since it is divisible by the number (38) 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 3212386848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316554880).

3212386848 is an abundant number, since it is smaller than the sum of its proper divisors (7420722912).

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

3212386848 is a wasteful number, since it uses less digits than its factorization.

3212386848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 761 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3212386848 is about 56677.9220508303. The cubic root of 3212386848 is about 1475.5115487768.

The spelling of 3212386848 in words is "three billion, two hundred twelve million, three hundred eighty-six thousand, eight hundred forty-eight".