3873357360 has 160 divisors (see below), whose sum is σ = 13511040000. Its totient is φ = 1019775744.

The previous prime is 3873357331. The next prime is 3873357361. The reversal of 3873357360 is 637533783.

3873357360 is a `hidden beast` number, since 3 + 8 + 73 + 3 + 573 + 6 + 0 = 666.

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 (3873357361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159291 + ... + 181989.

It is an arithmetic number, because the mean of its divisors is an integer number (84444000).

Almost surely, 2^3873357360 is an apocalyptic number.

3873357360 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 3873357360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755520000).

3873357360 is an abundant number, since it is smaller than the sum of its proper divisors (9637682640).

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

3873357360 is a wasteful number, since it uses less digits than its factorization.

3873357360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22800 (or 22788 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 3873357360 is about 62236.3025894052. The cubic root of 3873357360 is about 1570.4683525686.

The spelling of 3873357360 in words is "three billion, eight hundred seventy-three million, three hundred fifty-seven thousand, three hundred sixty".