3691296 has 72 divisors (see below), whose sum is σ = 12003264. Its totient is φ = 1054080.

The previous prime is 3691283. The next prime is 3691307. The reversal of 3691296 is 6921963.

3691296 is a `hidden beast` number, since 369 + 1 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3691296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1101 + ... + 2931.

It is an arithmetic number, because the mean of its divisors is an integer number (166712).

Almost surely, 2^3691296 is an apocalyptic number.

3691296 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 3691296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001632).

3691296 is an abundant number, since it is smaller than the sum of its proper divisors (8311968).

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

3691296 is a wasteful number, since it uses less digits than its factorization.

3691296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1843 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 3691296 is about 1921.2745769410. The cubic root of 3691296 is about 154.5466601143.

The spelling of 3691296 in words is "three million, six hundred ninety-one thousand, two hundred ninety-six".