3854541600 has 1152 divisors, whose sum is σ = 17953850880. Its totient is φ = 776355840.

The previous prime is 3854541589. The next prime is 3854541659. The reversal of 3854541600 is 61454583.

It is a happy number.

3854541600 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 5 + 41 + 600 = 666.

It is a super-2 number, since 2×3854541600² = 29714981892261120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72727174 + ... + 72727226.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^3854541600 is an apocalyptic number.

3854541600 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 3854541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976925440).

3854541600 is an abundant number, since it is smaller than the sum of its proper divisors (14099309280).

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

3854541600 is a wasteful number, since it uses less digits than its factorization.

3854541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3854541600 is about 62084.9546991862. The cubic root of 3854541600 is about 1567.9212484744.

The spelling of 3854541600 in words is "three billion, eight hundred fifty-four million, five hundred forty-one thousand, six hundred".