3858861600 has 576 divisors, whose sum is σ = 15467760000. Its totient is φ = 920678400.

The previous prime is 3858861529. The next prime is 3858861613. The reversal of 3858861600 is 61688583.

3858861600 = T₈₃₆₀ + T₈₃₆₁ + ... + T₈₄₆₈.

3858861600 is a `hidden beast` number, since 3 + 8 + 588 + 6 + 1 + 60 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25898326 + ... + 25898474.

It is an arithmetic number, because the mean of its divisors is an integer number (26853750).

Almost surely, 2^3858861600 is an apocalyptic number.

3858861600 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 3858861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733880000).

3858861600 is an abundant number, since it is smaller than the sum of its proper divisors (11608898400).

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

3858861600 is a wasteful number, since it uses less digits than its factorization.

3858861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3858861600 is about 62119.7359942877. The cubic root of 3858861600 is about 1568.5067820795.

The spelling of 3858861600 in words is "three billion, eight hundred fifty-eight million, eight hundred sixty-one thousand, six hundred".