3667356 has 144 divisors (see below), whose sum is σ = 12230400. Its totient is φ = 952560.

The previous prime is 3667343. The next prime is 3667357. The reversal of 3667356 is 6537663.

3667356 = 36³ + 37³ + ... + 63³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3667356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667357) 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, 333391 + ... + 333401.

Almost surely, 2^3667356 is an apocalyptic number.

3667356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115200).

3667356 is an abundant number, since it is smaller than the sum of its proper divisors (8563044).

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

3667356 is a wasteful number, since it uses less digits than its factorization.

3667356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 3667356 is about 1915.0342033499. The cubic root of 3667356 is about 154.2118297030.

The spelling of 3667356 in words is "three million, six hundred sixty-seven thousand, three hundred fifty-six".