3324379968 has 560 divisors, whose sum is σ = 12598481280. Its totient is φ = 846526464.

The previous prime is 3324379967. The next prime is 3324379979. The reversal of 3324379968 is 8699734233.

It is a super-2 number, since 2×3324379968² = 22103004343279362048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (5878656) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324379967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114633778 + ... + 114633806.

It is an arithmetic number, because the mean of its divisors is an integer number (22497288).

Almost surely, 2^3324379968 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 3324379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299240640).

3324379968 is an abundant number, since it is smaller than the sum of its proper divisors (9274101312).

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

3324379968 is an frugal number, since it uses more digits than its factorization.

3324379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3324379968 is about 57657.4363634042. The cubic root of 3324379968 is about 1492.4629277931.

The spelling of 3324379968 in words is "three billion, three hundred twenty-four million, three hundred seventy-nine thousand, nine hundred sixty-eight".