3850249347360 has 1152 divisors, whose sum is σ = 15237338747904. Its totient is φ = 912038952960.

The previous prime is 3850249347293. The next prime is 3850249347379. The reversal of 3850249347360 is 637439420583.

3850249347360 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 24 + 93 + 473 + 60 = 666.

It is a super-2 number, since 2×3850249347360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3850249347297 and 3850249347306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1449095152 + ... + 1449097808.

It is an arithmetic number, because the mean of its divisors is an integer number (13226856552).

Almost surely, 2^{3850249347360} is an apocalyptic number.

3850249347360 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 3850249347360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618669373952).

3850249347360 is an abundant number, since it is smaller than the sum of its proper divisors (11387089400544).

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

3850249347360 is a wasteful number, since it uses less digits than its factorization.

3850249347360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3850249347360 in words is "three trillion, eight hundred fifty billion, two hundred forty-nine million, three hundred forty-seven thousand, three hundred sixty".