3328442880 has 320 divisors, whose sum is σ = 12301141248. Its totient is φ = 752025600.

The previous prime is 3328442879. The next prime is 3328442881. The reversal of 3328442880 is 882448233.

It is an interprime number because it is at equal distance from previous prime (3328442879) and next prime (3328442881).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3328442880² = 22157064010845388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3328442881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5429454 + ... + 5430066.

Almost surely, 2^3328442880 is an apocalyptic number.

3328442880 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 3328442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150570624).

3328442880 is an abundant number, since it is smaller than the sum of its proper divisors (8972698368).

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

3328442880 is a wasteful number, since it uses less digits than its factorization.

3328442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 3328442880 is about 57692.6588050854. The cubic root of 3328442880 is about 1493.0706879360.

The spelling of 3328442880 in words is "three billion, three hundred twenty-eight million, four hundred forty-two thousand, eight hundred eighty".