3777345 has 48 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 1687680.

The previous prime is 3777341. The next prime is 3777377. The reversal of 3777345 is 5437773.

It is not a de Polignac number, because 3777345 - 2² = 3777341 is a prime.

3777345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3777341) 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, 6142 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 2^3777345 is an apocalyptic number.

It is an amenable number.

3777345 is an abundant number, since it is smaller than the sum of its proper divisors (3927807).

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

3777345 is a wasteful number, since it uses less digits than its factorization.

3777345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 619 counting only the distinct ones).

The product of its digits is 61740, while the sum is 36.

The square root of 3777345 is about 1943.5392972616. The cubic root of 3777345 is about 155.7383434238.

The spelling of 3777345 in words is "three million, seven hundred seventy-seven thousand, three hundred forty-five".