3348079680 has 672 divisors, whose sum is σ = 12939857280. Its totient is φ = 729907200.

The previous prime is 3348079607. The next prime is 3348079681. The reversal of 3348079680 is 869708433.

It is a super-2 number, since 2×3348079680² = 22419275087257804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3348079681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81660460 + ... + 81660500.

It is an arithmetic number, because the mean of its divisors is an integer number (19255740).

Almost surely, 2^3348079680 is an apocalyptic number.

3348079680 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 3348079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469928640).

3348079680 is an abundant number, since it is smaller than the sum of its proper divisors (9591777600).

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

3348079680 is a wasteful number, since it uses less digits than its factorization.

3348079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3348079680 is about 57862.5930977864. The cubic root of 3348079680 is about 1496.0011534016.

The spelling of 3348079680 in words is "three billion, three hundred forty-eight million, seventy-nine thousand, six hundred eighty".