3736005 has 96 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 1419264.

The previous prime is 3736003. The next prime is 3736037. The reversal of 3736005 is 5006373.

It is not a de Polignac number, because 3736005 - 2¹ = 3736003 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3736003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162424 + ... + 162446.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

Almost surely, 2^3736005 is an apocalyptic number.

3736005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3736005 is an abundant number, since it is smaller than the sum of its proper divisors (4537659).

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

3736005 is a wasteful number, since it uses less digits than its factorization.

3736005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 3736005 is about 1932.8748019466. The cubic root of 3736005 is about 155.1681145084.

The spelling of 3736005 in words is "three million, seven hundred thirty-six thousand, five".