3840399360 has 288 divisors, whose sum is σ = 15214137120. Its totient is φ = 877658112.

The previous prime is 3840399323. The next prime is 3840399379. The reversal of 3840399360 is 639930483.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 642144 + ... + 648096.

It is an arithmetic number, because the mean of its divisors is an integer number (52826865).

Almost surely, 2^3840399360 is an apocalyptic number.

3840399360 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 3840399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607068560).

3840399360 is an abundant number, since it is smaller than the sum of its proper divisors (11373737760).

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

3840399360 is a wasteful number, since it uses less digits than its factorization.

3840399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3840399360 is about 61970.9557776867. The cubic root of 3840399360 is about 1566.0013407504.

The spelling of 3840399360 in words is "three billion, eight hundred forty million, three hundred ninety-nine thousand, three hundred sixty".