3835201 has 8 divisors (see below), whose sum is σ = 3932064. Its totient is φ = 3739680.

The previous prime is 3835199. The next prime is 3835231. The reversal of 3835201 is 1025383.

3835201 = 84² + 85² + ... + 229².

It is the 800-th star number.

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 3835201 - 2¹ = 3835199 is a prime.

It is a Duffinian number.

3835201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3835231) 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, 7566 + ... + 8056.

It is an arithmetic number, because the mean of its divisors is an integer number (491508).

Almost surely, 2^3835201 is an apocalyptic number.

It is an amenable number.

3835201 is a deficient number, since it is larger than the sum of its proper divisors (96863).

3835201 is a wasteful number, since it uses less digits than its factorization.

3835201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 3835201 is about 1958.3669216978. The cubic root of 3835201 is about 156.5294442519.

The spelling of 3835201 in words is "three million, eight hundred thirty-five thousand, two hundred one".