3384280416 has 192 divisors, whose sum is σ = 10159865856. Its totient is φ = 977011200.

The previous prime is 3384280387. The next prime is 3384280441. The reversal of 3384280416 is 6140824833.

It is a happy number.

It is a super-2 number, since 2×3384280416² = 22906707868242266112, which contains 22 as substring.

It is a congruent number.

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, 2192541 + ... + 2194083.

It is an arithmetic number, because the mean of its divisors is an integer number (52915968).

Almost surely, 2^3384280416 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 3384280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079932928).

3384280416 is an abundant number, since it is smaller than the sum of its proper divisors (6775585440).

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

3384280416 is a wasteful number, since it uses less digits than its factorization.

3384280416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3384280416 is about 58174.5684642353. The cubic root of 3384280416 is about 1501.3736181759.

The spelling of 3384280416 in words is "three billion, three hundred eighty-four million, two hundred eighty thousand, four hundred sixteen".