3393722880 has 320 divisors, whose sum is σ = 12389921280. Its totient is φ = 879869952.

The previous prime is 3393722873. The next prime is 3393722881. The reversal of 3393722880 is 882273933.

It is a happy number.

3393722880 is a `hidden beast` number, since 339 + 37 + 2 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3393722881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2556777 + ... + 2558103.

It is an arithmetic number, because the mean of its divisors is an integer number (38718504).

Almost surely, 2^3393722880 is an apocalyptic number.

3393722880 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 3393722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194960640).

3393722880 is an abundant number, since it is smaller than the sum of its proper divisors (8996198400).

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

3393722880 is a wasteful number, since it uses less digits than its factorization.

3393722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3393722880 is about 58255.6682220709. The cubic root of 3393722880 is about 1502.7686465866.

The spelling of 3393722880 in words is "three billion, three hundred ninety-three million, seven hundred twenty-two thousand, eight hundred eighty".