3849759033120 has 3456 divisors, whose sum is σ = 19379734133760. Its totient is φ = 681819586560.

The previous prime is 3849759033119. The next prime is 3849759033151. The reversal of 3849759033120 is 213309579483.

3849759033120 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 7 + 590 + 33 + 12 + 0 = 666.

It is a super-2 number, since 2×3849759033120² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8243595127 + ... + 8243595593.

It is an arithmetic number, because the mean of its divisors is an integer number (5607561960).

Almost surely, 2^{3849759033120} is an apocalyptic number.

3849759033120 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 3849759033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689867066880).

3849759033120 is an abundant number, since it is smaller than the sum of its proper divisors (15529975100640).

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

3849759033120 is a wasteful number, since it uses less digits than its factorization.

3849759033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3849759033120 in words is "three trillion, eight hundred forty-nine billion, seven hundred fifty-nine million, thirty-three thousand, one hundred twenty".