3851205408 has 72 divisors (see below), whose sum is σ = 10970121708. Its totient is φ = 1281595392.

The previous prime is 3851205403. The next prime is 3851205433. The reversal of 3851205408 is 8045021583.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3847472784 + 3732624 = 62028^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3851205403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166860 + ... + 188532.

Almost surely, 2^3851205408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3851205408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485060854).

3851205408 is an abundant number, since it is smaller than the sum of its proper divisors (7118916300).

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

3851205408 is a wasteful number, since it uses less digits than its factorization.

3851205408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22306 (or 22295 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 3851205408 is about 62058.0809242439. The cubic root of 3851205408 is about 1567.4687609290.

The spelling of 3851205408 in words is "three billion, eight hundred fifty-one million, two hundred five thousand, four hundred eight".