3378068064 has 480 divisors, whose sum is σ = 12294374400. Its totient is φ = 888330240.

The previous prime is 3378068063. The next prime is 3378068087. The reversal of 3378068064 is 4608608733.

It is a super-2 number, since 2×3378068064² = 22822687690033416192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378068063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14134057 + ... + 14134295.

It is an arithmetic number, because the mean of its divisors is an integer number (25613280).

Almost surely, 2^3378068064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378068064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147187200).

3378068064 is an abundant number, since it is smaller than the sum of its proper divisors (8916306336).

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

3378068064 is a wasteful number, since it uses less digits than its factorization.

3378068064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3378068064 is about 58121.1498853903. The cubic root of 3378068064 is about 1500.4543903390.

The spelling of 3378068064 in words is "three billion, three hundred seventy-eight million, sixty-eight thousand, sixty-four".