3364356096 has 240 divisors, whose sum is σ = 10468972800. Its totient is φ = 1038090240.

The previous prime is 3364356089. The next prime is 3364356109. The reversal of 3364356096 is 6906534633.

3364356096 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 35 + 609 + 6 = 666.

It is a super-2 number, since 2×3364356096² = 22637783881384722432, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108527601 + ... + 108527631.

It is an arithmetic number, because the mean of its divisors is an integer number (43620720).

Almost surely, 2^3364356096 is an apocalyptic number.

3364356096 is a gapful number since it is divisible by the number (36) 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 3364356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234486400).

3364356096 is an abundant number, since it is smaller than the sum of its proper divisors (7104616704).

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

3364356096 is an frugal number, since it uses more digits than its factorization.

3364356096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The square root of 3364356096 is about 58003.0697118696. The cubic root of 3364356096 is about 1498.4214647337.

The spelling of 3364356096 in words is "three billion, three hundred sixty-four million, three hundred fifty-six thousand, ninety-six".