3747345 has 32 divisors (see below), whose sum is σ = 6946560. Its totient is φ = 1689600.

The previous prime is 3747343. The next prime is 3747347. The reversal of 3747345 is 5437473.

It is an interprime number because it is at equal distance from previous prime (3747343) and next prime (3747347).

It is not a de Polignac number, because 3747345 - 2¹ = 3747343 is a prime.

3747345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3747343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9145 + ... + 9545.

It is an arithmetic number, because the mean of its divisors is an integer number (217080).

Almost surely, 2^3747345 is an apocalyptic number.

3747345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3747345 is a deficient number, since it is larger than the sum of its proper divisors (3199215).

3747345 is a wasteful number, since it uses less digits than its factorization.

3747345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505.

The product of its digits is 35280, while the sum is 33.

The square root of 3747345 is about 1935.8060336718. The cubic root of 3747345 is about 155.3249512977.

Adding to 3747345 its product of digits (35280), we get a triangular number (3782625 = T₂₇₅₀).

The spelling of 3747345 in words is "three million, seven hundred forty-seven thousand, three hundred forty-five".