3387451824 has 240 divisors, whose sum is σ = 10419645600. Its totient is φ = 1022976000.

The previous prime is 3387451811. The next prime is 3387451849. The reversal of 3387451824 is 4281547833.

3387451824 is a `hidden beast` number, since 33 + 87 + 4 + 518 + 24 = 666.

It is a super-2 number, since 2×3387451824² = 22949659719841853952, 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 a self number, because there is not a number n which added to its sum of digits gives 3387451824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13495699 + ... + 13495949.

It is an arithmetic number, because the mean of its divisors is an integer number (43415190).

Almost surely, 2^3387451824 is an apocalyptic number.

3387451824 is a gapful number since it is divisible by the number (34) 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 3387451824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209822800).

3387451824 is an abundant number, since it is smaller than the sum of its proper divisors (7032193776).

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

3387451824 is a wasteful number, since it uses less digits than its factorization.

3387451824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 3387451824 is about 58201.8197653647. The cubic root of 3387451824 is about 1501.8424506571.

The spelling of 3387451824 in words is "three billion, three hundred eighty-seven million, four hundred fifty-one thousand, eight hundred twenty-four".