3328678080 has 504 divisors, whose sum is σ = 14183331552. Its totient is φ = 701595648.

The previous prime is 3328678069. The next prime is 3328678123. The reversal of 3328678080 is 808768233.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3328678080² = 22160195520544972800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3406552 + ... + 3407528.

Almost surely, 2^3328678080 is an apocalyptic number.

3328678080 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 3328678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091665776).

3328678080 is an abundant number, since it is smaller than the sum of its proper divisors (10854653472).

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

3328678080 is a wasteful number, since it uses less digits than its factorization.

3328678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3328678080 is about 57694.6971566712. The cubic root of 3328678080 is about 1493.1058557274.

The spelling of 3328678080 in words is "three billion, three hundred twenty-eight million, six hundred seventy-eight thousand, eighty".