3387884400 has 360 divisors, whose sum is σ = 12521983760. Its totient is φ = 869944320.

The previous prime is 3387884377. The next prime is 3387884419. The reversal of 3387884400 is 44887833.

It is a happy number.

3387884400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×3387884400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9082614 + ... + 9082986.

Almost surely, 2^3387884400 is an apocalyptic number.

3387884400 is a gapful number since it is divisible by the number (30) 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 3387884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260991880).

3387884400 is an abundant number, since it is smaller than the sum of its proper divisors (9134099360).

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

3387884400 is a wasteful number, since it uses less digits than its factorization.

3387884400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3387884400 is about 58205.5358191985. The cubic root of 3387884400 is about 1501.9063761270.

The spelling of 3387884400 in words is "three billion, three hundred eighty-seven million, eight hundred eighty-four thousand, four hundred".