3755997 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 2007936.

The previous prime is 3755959. The next prime is 3756001. The reversal of 3755997 is 7995573.

It is a happy number.

3755997 is a `hidden beast` number, since 3 + 7 + 559 + 97 = 666.

It is not a de Polignac number, because 3755997 - 2¹⁰ = 3754973 is a prime.

It is a super-3 number, since 3×3755997³ (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

3755997 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3755197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22408 + ... + 22574.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^3755997 is an apocalyptic number.

It is an amenable number.

3755997 is a deficient number, since it is larger than the sum of its proper divisors (3138723).

3755997 is a wasteful number, since it uses less digits than its factorization.

3755997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its digits is 297675, while the sum is 45.

The square root of 3755997 is about 1938.0394732822. The cubic root of 3755997 is about 155.4443992930. Note that the first 3 decimals are identical.

The spelling of 3755997 in words is "three million, seven hundred fifty-five thousand, nine hundred ninety-seven".