3324847680 has 1008 divisors, whose sum is σ = 15177576960. Its totient is φ = 652861440.

The previous prime is 3324847637. The next prime is 3324847697. The reversal of 3324847680 is 867484233.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3324847680² = 22109224190402764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70741417 + ... + 70741463.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^3324847680 is an apocalyptic number.

3324847680 is a gapful number since it is divisible by the number (30) 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 3324847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588788480).

3324847680 is an abundant number, since it is smaller than the sum of its proper divisors (11852729280).

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

3324847680 is a wasteful number, since it uses less digits than its factorization.

3324847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3324847680 is about 57661.4921763216. The cubic root of 3324847680 is about 1492.5329167929.

The spelling of 3324847680 in words is "three billion, three hundred twenty-four million, eight hundred forty-seven thousand, six hundred eighty".