3379178880 has 768 divisors, whose sum is σ = 15351897600. Its totient is φ = 663552000.

The previous prime is 3379178867. The next prime is 3379178909. The reversal of 3379178880 is 888719733.

It is a super-2 number, since 2×3379178880² = 22837699806076108800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8426680 + ... + 8427080.

It is an arithmetic number, because the mean of its divisors is an integer number (19989450).

Almost surely, 2^3379178880 is an apocalyptic number.

3379178880 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 3379178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675948800).

3379178880 is an abundant number, since it is smaller than the sum of its proper divisors (11972718720).

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

3379178880 is a wasteful number, since it uses less digits than its factorization.

3379178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 3379178880 is about 58130.7051393668. The cubic root of 3379178880 is about 1500.6188379913.

The spelling of 3379178880 in words is "three billion, three hundred seventy-nine million, one hundred seventy-eight thousand, eight hundred eighty".