3378868416 has 672 divisors, whose sum is σ = 13009351680. Its totient is φ = 812851200.

The previous prime is 3378868391. The next prime is 3378868417. The reversal of 3378868416 is 6148688733.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3378868416² = 22833503545284698112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3378868417) by changing a digit.

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, 47589661 + ... + 47589731.

Almost surely, 2^3378868416 is an apocalyptic number.

3378868416 is a gapful number since it is divisible by the number (36) 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 3378868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504675840).

3378868416 is an abundant number, since it is smaller than the sum of its proper divisors (9630483264).

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

3378868416 is a wasteful number, since it uses less digits than its factorization.

3378868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3378868416 is about 58128.0346820706. The cubic root of 3378868416 is about 1500.5728798446.

The spelling of 3378868416 in words is "three billion, three hundred seventy-eight million, eight hundred sixty-eight thousand, four hundred sixteen".