3626496 has 60 divisors (see below), whose sum is σ = 10479612. Its totient is φ = 1207296.

The previous prime is 3626471. The next prime is 3626501. The reversal of 3626496 is 6946263.

3626496 is a `hidden beast` number, since 3 + 6 + 2 + 649 + 6 = 666.

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 3626496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4215 + ... + 5001.

Almost surely, 2^3626496 is an apocalyptic number.

3626496 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 3626496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239806).

3626496 is an abundant number, since it is smaller than the sum of its proper divisors (6853116).

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

3626496 is an equidigital number, since it uses as much as digits as its factorization.

3626496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 792 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3626496 is about 1904.3361047882. The cubic root of 3626496 is about 153.6369702675.

The spelling of 3626496 in words is "three million, six hundred twenty-six thousand, four hundred ninety-six".