3393784320 has 160 divisors (see below), whose sum is σ = 11321811072. Its totient is φ = 865615872.

The previous prime is 3393784291. The next prime is 3393784357. The reversal of 3393784320 is 234873933.

It is a tau number, because it is divible by the number of its divisors (160).

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, 167034 + ... + 186246.

Almost surely, 2^3393784320 is an apocalyptic number.

3393784320 is a gapful number since it is divisible by the number (30) 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 3393784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660905536).

3393784320 is an abundant number, since it is smaller than the sum of its proper divisors (7928026752).

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

3393784320 is a wasteful number, since it uses less digits than its factorization.

3393784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19262 (or 19246 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 3393784320 is about 58256.1955503447. The cubic root of 3393784320 is about 1502.7777152458. Note that the first 4 decimals are identical.

The spelling of 3393784320 in words is "three billion, three hundred ninety-three million, seven hundred eighty-four thousand, three hundred twenty".