3387627360 has 240 divisors, whose sum is σ = 12875795856. Its totient is φ = 833836032.

The previous prime is 3387627343. The next prime is 3387627391. The reversal of 3387627360 is 637267833.

3387627360 is digitally balanced in base 2 and base 4, because in such bases 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 (240).

It is a super-2 number, since 2×3387627360² = 22952038260441139200, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 158427 + ... + 178533.

Almost surely, 2^3387627360 is an apocalyptic number.

3387627360 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 3387627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437897928).

3387627360 is an abundant number, since it is smaller than the sum of its proper divisors (9488168496).

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

3387627360 is a wasteful number, since it uses less digits than its factorization.

3387627360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20147 (or 20130 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3387627360 is about 58203.3277399154. The cubic root of 3387627360 is about 1501.8683917752.

The spelling of 3387627360 in words is "three billion, three hundred eighty-seven million, six hundred twenty-seven thousand, three hundred sixty".