3748659201 has 18 divisors (see below), whose sum is σ = 6298768242. Its totient is φ = 2142090720.

The previous prime is 3748659133. The next prime is 3748659253. The reversal of 3748659201 is 1029568473.

3748659201 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3747276225 + 1382976 = 61215^2 + 1176^2 .

It is not a de Polignac number, because 3748659201 - 2⁹ = 3748658689 is a prime.

3748659201 is strictly pandigital in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3748651201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4249740 + ... + 4250621.

It is an arithmetic number, because the mean of its divisors is an integer number (349931569).

It is a 1-persistent number, because it is pandigital, but 2⋅3748659201 = 7497318402 is not.

It is a Proth number, since it is equal to 3575 ⋅ 2²⁰ + 1 and 3575 < 2²⁰.

Almost surely, 2^3748659201 is an apocalyptic number.

It is an amenable number.

3748659201 is a deficient number, since it is larger than the sum of its proper divisors (2550109041).

3748659201 is a wasteful number, since it uses less digits than its factorization.

3748659201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500381 (or 8500371 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3748659201 is about 61226.2950128456. The cubic root of 3748659201 is about 1553.4310676050.

The spelling of 3748659201 in words is "three billion, seven hundred forty-eight million, six hundred fifty-nine thousand, two hundred one".