3854955302100 has 1152 divisors, whose sum is σ = 14870648217600. Its totient is φ = 838572134400.

The previous prime is 3854955302087. The next prime is 3854955302129. The reversal of 3854955302100 is 12035594583.

3854955302100 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 9 + 5 + 530 + 2 + 100 = 666.

3854955302100 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4765086496 + ... + 4765087304.

It is an arithmetic number, because the mean of its divisors is an integer number (12908548800).

Almost surely, 2^{3854955302100} is an apocalyptic number.

3854955302100 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 3854955302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435324108800).

3854955302100 is an abundant number, since it is smaller than the sum of its proper divisors (11015692915500).

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

3854955302100 is a wasteful number, since it uses less digits than its factorization.

3854955302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 3854955302100 in words is "three trillion, eight hundred fifty-four billion, nine hundred fifty-five million, three hundred two thousand, one hundred".