3839661360 has 160 divisors (see below), whose sum is σ = 13921728000. Its totient is φ = 970009344.

The previous prime is 3839661323. The next prime is 3839661367. The reversal of 3839661360 is 631669383.

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

It is not an unprimeable number, because it can be changed into a prime (3839661367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5740 + ... + 87819.

It is an arithmetic number, because the mean of its divisors is an integer number (87010800).

Almost surely, 2^3839661360 is an apocalyptic number.

3839661360 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 3839661360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960864000).

3839661360 is an abundant number, since it is smaller than the sum of its proper divisors (10082066640).

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

3839661360 is a wasteful number, since it uses less digits than its factorization.

3839661360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93600 (or 93588 counting only the distinct ones).

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

The square root of 3839661360 is about 61965.0010893246. The cubic root of 3839661360 is about 1565.9010227956.

The spelling of 3839661360 in words is "three billion, eight hundred thirty-nine million, six hundred sixty-one thousand, three hundred sixty".