3856410000 has 525 divisors, whose sum is σ = 14633830519. Its totient is φ = 983664000.

The previous prime is 3856409983. The next prime is 3856410001. The reversal of 3856410000 is 146583.

The square root of 3856410000 is 62100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 302342544 + 3554067456 = 17388^2 + 59616^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3856410001) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 167669989 + ... + 167670011.

Almost surely, 2^3856410000 is an apocalyptic number.

3856410000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3856410000 is the 62100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3856410000

3856410000 is an abundant number, since it is smaller than the sum of its proper divisors (10777420519).

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

3856410000 is an frugal number, since it uses more digits than its factorization.

3856410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 3856410000 is about 1568.1745454208.

Adding to 3856410000 its reverse (146583), we get a palindrome (3856556583).

The spelling of 3856410000 in words is "three billion, eight hundred fifty-six million, four hundred ten thousand".