3852958959360 has 720 divisors, whose sum is σ = 15789164160000. Its totient is φ = 878828838912.

The previous prime is 3852958959229. The next prime is 3852958959391. The reversal of 3852958959360 is 639598592583.

3852958959360 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 9 + 589 + 5 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 362148921 + ... + 362159559.

Almost surely, 2^{3852958959360} is an apocalyptic number.

3852958959360 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 3852958959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894582080000).

3852958959360 is an abundant number, since it is smaller than the sum of its proper divisors (11936205200640).

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

3852958959360 is a wasteful number, since it uses less digits than its factorization.

3852958959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 3852958959360 in words is "three trillion, eight hundred fifty-two billion, nine hundred fifty-eight million, nine hundred fifty-nine thousand, three hundred sixty".