3364288384 has 48 divisors (see below), whose sum is σ = 7000245720. Its totient is φ = 1607502336.

The previous prime is 3364288363. The next prime is 3364288387. The reversal of 3364288384 is 4838824633.

It is a happy number.

It is a super-2 number, since 2×3364288384² = 22636872661434662912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364288387) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3146602 + ... + 3147670.

Almost surely, 2^3364288384 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 3364288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500122860).

3364288384 is an abundant number, since it is smaller than the sum of its proper divisors (3635957336).

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

3364288384 is an frugal number, since it uses more digits than its factorization.

3364288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 1094 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 49.

The square root of 3364288384 is about 58002.4860156873. The cubic root of 3364288384 is about 1498.4114121122.

The spelling of 3364288384 in words is "three billion, three hundred sixty-four million, two hundred eighty-eight thousand, three hundred eighty-four".