3854970100800 has 4032 divisors, whose sum is σ = 18970998278400. Its totient is φ = 752467968000.

The previous prime is 3854970100777. The next prime is 3854970100829. The reversal of 3854970100800 is 80010794583.

3854970100800 is a `hidden beast` number, since 3 + 85 + 497 + 0 + 1 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

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, 38168020750 + ... + 38168020850.

It is an arithmetic number, because the mean of its divisors is an integer number (4705108700).

Almost surely, 2^{3854970100800} is an apocalyptic number.

3854970100800 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 3854970100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9485499139200).

3854970100800 is an abundant number, since it is smaller than the sum of its proper divisors (15116028177600).

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

3854970100800 is a wasteful number, since it uses less digits than its factorization.

3854970100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 3854970100800 in words is "three trillion, eight hundred fifty-four billion, nine hundred seventy million, one hundred thousand, eight hundred".