3737825 has 48 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 2246400.

The previous prime is 3737821. The next prime is 3737837. The reversal of 3737825 is 5287373.

It is not a de Polignac number, because 3737825 - 2² = 3737821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3737821) 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, 70499 + ... + 70551.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^3737825 is an apocalyptic number.

3737825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3737825 is a deficient number, since it is larger than the sum of its proper divisors (2261791).

3737825 is a wasteful number, since it uses less digits than its factorization.

3737825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 3737825 is about 1933.3455459384. The cubic root of 3737825 is about 155.1933072051.

The spelling of 3737825 in words is "three million, seven hundred thirty-seven thousand, eight hundred twenty-five".