3833416401 has 24 divisors (see below), whose sum is σ = 5269015584. Its totient is φ = 2477597760.

The previous prime is 3833416399. The next prime is 3833416409. The reversal of 3833416401 is 1046143383.

It is not a de Polignac number, because 3833416401 - 2¹ = 3833416399 is a prime.

It is a super-3 number, since 3×3833416401³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3833416409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4870530 + ... + 4871316.

It is an arithmetic number, because the mean of its divisors is an integer number (219542316).

Almost surely, 2^3833416401 is an apocalyptic number.

It is an amenable number.

3833416401 is a deficient number, since it is larger than the sum of its proper divisors (1435599183).

3833416401 is an equidigital number, since it uses as much as digits as its factorization.

3833416401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3833416401 is about 61914.5895649806. The cubic root of 3833416401 is about 1565.0516168027.

Adding to 3833416401 its reverse (1046143383), we get a palindrome (4879559784).

The spelling of 3833416401 in words is "three billion, eight hundred thirty-three million, four hundred sixteen thousand, four hundred one".