3384344416 has 96 divisors (see below), whose sum is σ = 7110294912. Its totient is φ = 1583400960.

The previous prime is 3384344333. The next prime is 3384344423. The reversal of 3384344416 is 6144434833.

It is a happy number.

It is a super-2 number, since 2×3384344416² = 22907574252220762112, which contains 22 as substring.

Its product of digits (331776) is a multiple of the sum of its prime factors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3394030 + ... + 3395026.

It is an arithmetic number, because the mean of its divisors is an integer number (74065572).

Almost surely, 2^3384344416 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 3384344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555147456).

3384344416 is an abundant number, since it is smaller than the sum of its proper divisors (3725950496).

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

3384344416 is a wasteful number, since it uses less digits than its factorization.

3384344416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1144 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The square root of 3384344416 is about 58175.1185301758. The cubic root of 3384344416 is about 1501.3830822563.

The spelling of 3384344416 in words is "three billion, three hundred eighty-four million, three hundred forty-four thousand, four hundred sixteen".