3736827 has 8 divisors (see below), whose sum is σ = 5536080. Its totient is φ = 2491200.

The previous prime is 3736823. The next prime is 3736841. The reversal of 3736827 is 7286373.

It is not a de Polignac number, because 3736827 - 2² = 3736823 is a prime.

3736827 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3736791 and 3736800.

It is not an unprimeable number, because it can be changed into a prime (3736823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69174 + ... + 69227.

It is an arithmetic number, because the mean of its divisors is an integer number (692010).

Almost surely, 2^3736827 is an apocalyptic number.

3736827 is a deficient number, since it is larger than the sum of its proper divisors (1799253).

3736827 is a wasteful number, since it uses less digits than its factorization.

3736827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138410 (or 138404 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3736827 is about 1933.0874268899. The cubic root of 3736827 is about 155.1794937613.

It can be divided in two parts, 37 and 36827, that added together give a square (36864 = 192²).

The spelling of 3736827 in words is "three million, seven hundred thirty-six thousand, eight hundred twenty-seven".