3628830 has 32 divisors (see below), whose sum is σ = 8833824. Its totient is φ = 953856.

The previous prime is 3628819. The next prime is 3628841. The reversal of 3628830 is 388263.

It is an interprime number because it is at equal distance from previous prime (3628819) and next prime (3628841).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1362 + ... + 3018.

It is an arithmetic number, because the mean of its divisors is an integer number (276057).

Almost surely, 2^3628830 is an apocalyptic number.

3628830 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 3628830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416912).

3628830 is an abundant number, since it is smaller than the sum of its proper divisors (5204994).

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

3628830 is a wasteful number, since it uses less digits than its factorization.

3628830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3628830 is about 1904.9488182101. The cubic root of 3628830 is about 153.6699232693.

The spelling of 3628830 in words is "three million, six hundred twenty-eight thousand, eight hundred thirty".