3854560220910 has 192 divisors, whose sum is σ = 11725747038720. Its totient is φ = 860124545280.

The previous prime is 3854560220839. The next prime is 3854560220941. The reversal of 3854560220910 is 190220654583.

3854560220910 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 5 + 602 + 20 + 9 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56014825 + ... + 56083595.

It is an arithmetic number, because the mean of its divisors is an integer number (61071599160).

Almost surely, 2^{3854560220910} is an apocalyptic number.

3854560220910 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3854560220910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862873519360).

3854560220910 is an abundant number, since it is smaller than the sum of its proper divisors (7871186817810).

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

3854560220910 is a wasteful number, since it uses less digits than its factorization.

3854560220910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70903 (or 70900 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3854560220910 in words is "three trillion, eight hundred fifty-four billion, five hundred sixty million, two hundred twenty thousand, nine hundred ten".