3387828132 has 96 divisors (see below), whose sum is σ = 9516192000. Its totient is φ = 1036094976.

The previous prime is 3387828127. The next prime is 3387828137. The reversal of 3387828132 is 2318287833.

3387828132 is a `hidden beast` number, since 338 + 7 + 8 + 281 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (3387828127) and next prime (3387828137).

It is a super-2 number, since 2×3387828132² = 22954758903941218848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3387828137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227244 + ... + 241692.

It is an arithmetic number, because the mean of its divisors is an integer number (99127000).

Almost surely, 2^3387828132 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 3387828132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758096000).

3387828132 is an abundant number, since it is smaller than the sum of its proper divisors (6128363868).

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

3387828132 is a wasteful number, since it uses less digits than its factorization.

3387828132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14642 (or 14634 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 3387828132 is about 58205.0524611051. The cubic root of 3387828132 is about 1501.8980612293.

The spelling of 3387828132 in words is "three billion, three hundred eighty-seven million, eight hundred twenty-eight thousand, one hundred thirty-two".