3854979002160 has 2520 divisors, whose sum is σ = 16846057823472. Its totient is φ = 812262297600.

The previous prime is 3854979002159. The next prime is 3854979002183. The reversal of 3854979002160 is 612009794583.

3854979002160 is a `hidden beast` number, since 3 + 8 + 5 + 497 + 90 + 0 + 2 + 1 + 60 = 666.

3854979002160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3854979002097 and 3854979002106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 104188621662 + ... + 104188621698.

It is a 1-persistent number, because it is pandigital, but 2⋅3854979002160 = 7709958004320 is not.

Almost surely, 2^{3854979002160} is an apocalyptic number.

3854979002160 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 3854979002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8423028911736).

3854979002160 is an abundant number, since it is smaller than the sum of its proper divisors (12991078821312).

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

3854979002160 is a wasteful number, since it uses less digits than its factorization.

3854979002160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3854979002160 in words is "three trillion, eight hundred fifty-four billion, nine hundred seventy-nine million, two thousand, one hundred sixty".