3628890 has 48 divisors (see below), whose sum is σ = 9604296. Its totient is φ = 950400.

The previous prime is 3628883. The next prime is 3628897. The reversal of 3628890 is 988263.

3628890 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (3628883) and next prime (3628897).

It can be written as a sum of positive squares in 4 ways, for example, as 2442969 + 1185921 = 1563^2 + 1089^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3628897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160 + ... + 5820.

Almost surely, 2^3628890 is an apocalyptic number.

3628890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3628890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802148).

3628890 is an abundant number, since it is smaller than the sum of its proper divisors (5975406).

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

3628890 is a wasteful number, since it uses less digits than its factorization.

3628890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3628890 is about 1904.9645665996. The cubic root of 3628890 is about 153.6707702038.

The spelling of 3628890 in words is "three million, six hundred twenty-eight thousand, eight hundred ninety".