3384714816 has 224 divisors, whose sum is σ = 11765280000. Its totient is φ = 933617664.

The previous prime is 3384714803. The next prime is 3384714829. The reversal of 3384714816 is 6184174833.

It is an interprime number because it is at equal distance from previous prime (3384714803) and next prime (3384714829).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3384714816² = 22912588771299827712, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345960 + ... + 355608.

Almost surely, 2^3384714816 is an apocalyptic number.

3384714816 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 3384714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882640000).

3384714816 is an abundant number, since it is smaller than the sum of its proper divisors (8380565184).

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

3384714816 is a wasteful number, since it uses less digits than its factorization.

3384714816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706 (or 9690 counting only the distinct ones).

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

The square root of 3384714816 is about 58178.3019346560. The cubic root of 3384714816 is about 1501.4378532782.

The spelling of 3384714816 in words is "three billion, three hundred eighty-four million, seven hundred fourteen thousand, eight hundred sixteen".