3857600441 has 8 divisors (see below), whose sum is σ = 4120666344. Its totient is φ = 3598551040.

The previous prime is 3857600359. The next prime is 3857600443. The reversal of 3857600441 is 1440067583.

It can be written as a sum of positive squares in 4 ways, for example, as 285745216 + 3571855225 = 16904^2 + 59765^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3857600441 - 2¹⁴ = 3857584057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3857600395 and 3857600404.

It is not an unprimeable number, because it can be changed into a prime (3857600443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002140 + ... + 1005981.

It is an arithmetic number, because the mean of its divisors is an integer number (515083293).

Almost surely, 2^3857600441 is an apocalyptic number.

It is an amenable number.

3857600441 is a deficient number, since it is larger than the sum of its proper divisors (263065903).

3857600441 is a wasteful number, since it uses less digits than its factorization.

3857600441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008251.

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 3857600441 is about 62109.5841315976. The cubic root of 3857600441 is about 1568.3358895394.

The spelling of 3857600441 in words is "three billion, eight hundred fifty-seven million, six hundred thousand, four hundred forty-one".