3705957 has 24 divisors (see below), whose sum is σ = 5690880. Its totient is φ = 2319840.

The previous prime is 3705941. The next prime is 3705959. The reversal of 3705957 is 7595073.

It is not a de Polignac number, because 3705957 - 2⁴ = 3705941 is a prime.

3705957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3705959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10144 + ... + 10502.

It is an arithmetic number, because the mean of its divisors is an integer number (237120).

Almost surely, 2^3705957 is an apocalyptic number.

3705957 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3705957 is a deficient number, since it is larger than the sum of its proper divisors (1984923).

3705957 is a wasteful number, since it uses less digits than its factorization.

3705957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 3705957 is about 1925.0862318348. The cubic root of 3705957 is about 154.7509980510.

The spelling of 3705957 in words is "three million, seven hundred five thousand, nine hundred fifty-seven".