3328814880 has 480 divisors, whose sum is σ = 12892627440. Its totient is φ = 805109760.

The previous prime is 3328814837. The next prime is 3328814891. The reversal of 3328814880 is 884188233.

It can be written as a sum of positive squares in 8 ways, for example, as 1593925776 + 1734889104 = 39924^2 + 41652^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3328814880² = 22162017010618828800, 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 79 ways as a sum of consecutive naturals, for example, 6389020 + ... + 6389540.

Almost surely, 2^3328814880 is an apocalyptic number.

3328814880 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 3328814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446313720).

3328814880 is an abundant number, since it is smaller than the sum of its proper divisors (9563812560).

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

3328814880 is a wasteful number, since it uses less digits than its factorization.

3328814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 3328814880 is about 57695.8826953882. The cubic root of 3328814880 is about 1493.1263097012.

The spelling of 3328814880 in words is "three billion, three hundred twenty-eight million, eight hundred fourteen thousand, eight hundred eighty".