3626016 has 48 divisors (see below), whose sum is σ = 9634464. Its totient is φ = 1193984.

The previous prime is 3626011. The next prime is 3626033. The reversal of 3626016 is 6106263.

3626016 = T₂₀₅ + T₂₀₆ + ... + T₃₁₁.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3626011) 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, 10096 + ... + 10448.

It is an arithmetic number, because the mean of its divisors is an integer number (200718).

Almost surely, 2^3626016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3626016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817232).

3626016 is an abundant number, since it is smaller than the sum of its proper divisors (6008448).

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

3626016 is a wasteful number, since it uses less digits than its factorization.

3626016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3626016 is about 1904.2100724447. The cubic root of 3626016 is about 153.6301915478.

The spelling of 3626016 in words is "three million, six hundred twenty-six thousand, sixteen".