3957345 has 48 divisors (see below), whose sum is σ = 8311680. Its totient is φ = 1700352.

The previous prime is 3957341. The next prime is 3957383. The reversal of 3957345 is 5437593.

It is not a de Polignac number, because 3957345 - 2² = 3957341 is a prime.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3957341) 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, 4986 + ... + 5724.

It is an arithmetic number, because the mean of its divisors is an integer number (173160).

Almost surely, 2^3957345 is an apocalyptic number.

3957345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3957345 is an abundant number, since it is smaller than the sum of its proper divisors (4354335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3957345 is a wasteful number, since it uses less digits than its factorization.

3957345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 771 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 3957345 is about 1989.3076685118. The cubic root of 3957345 is about 158.1738326059.

The spelling of 3957345 in words is "three million, nine hundred fifty-seven thousand, three hundred forty-five".