3860841600 has 576 divisors, whose sum is σ = 17185596480. Its totient is φ = 801792000.

The previous prime is 3860841581. The next prime is 3860841637. The reversal of 3860841600 is 61480683.

It is a happy number.

3860841600 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 8 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2216730 + ... + 2218470.

It is an arithmetic number, because the mean of its divisors is an integer number (29836105).

Almost surely, 2^3860841600 is an apocalyptic number.

3860841600 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 3860841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592798240).

3860841600 is an abundant number, since it is smaller than the sum of its proper divisors (13324754880).

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

3860841600 is a wasteful number, since it uses less digits than its factorization.

3860841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3860841600 is about 62135.6709145399. The cubic root of 3860841600 is about 1568.7750056066.

It can be divided in two parts, 38608 and 41600, that added together give a palindrome (80208).

The spelling of 3860841600 in words is "three billion, eight hundred sixty million, eight hundred forty-one thousand, six hundred".