3622768 has 40 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 1612800.

The previous prime is 3622763. The next prime is 3622783. The reversal of 3622768 is 8672263.

It is a Smith number, since the sum of its digits (34) 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 (34).

It is a d-powerful number, because it can be written as 3⁶ + 6⁸ + 2⁸ + 2¹⁸ + 7³ + 6⁸ + 8² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3622763) 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, 4818 + ... + 5518.

It is an arithmetic number, because the mean of its divisors is an integer number (195858).

Almost surely, 2^3622768 is an apocalyptic number.

3622768 is a gapful number since it is divisible by the number (38) 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 3622768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

3622768 is an abundant number, since it is smaller than the sum of its proper divisors (4211552).

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

3622768 is a wasteful number, since it uses less digits than its factorization.

3622768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 3622768 is about 1903.3570342949. The cubic root of 3622768 is about 153.5843064840.

The spelling of 3622768 in words is "three million, six hundred twenty-two thousand, seven hundred sixty-eight".