3388520736 has 96 divisors (see below), whose sum is σ = 9955673280. Its totient is φ = 1121223168.

The previous prime is 3388520719. The next prime is 3388520741. The reversal of 3388520736 is 6370258833.

3388520736 is a `hidden beast` number, since 338 + 85 + 207 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3388520736² = 22964145556603963392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3388520691 and 3388520700.

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, 104055 + ... + 132681.

It is an arithmetic number, because the mean of its divisors is an integer number (103704930).

Almost surely, 2^3388520736 is an apocalyptic number.

3388520736 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 3388520736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977836640).

3388520736 is an abundant number, since it is smaller than the sum of its proper divisors (6567152544).

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

3388520736 is a wasteful number, since it uses less digits than its factorization.

3388520736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28783 (or 28769 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3388520736 is about 58211.0018467300. The cubic root of 3388520736 is about 1502.0004030725. Note that the first 3 decimals are identical.

The spelling of 3388520736 in words is "three billion, three hundred eighty-eight million, five hundred twenty thousand, seven hundred thirty-six".