3662820 has 240 divisors, whose sum is σ = 14636160. Its totient is φ = 746496.

The previous prime is 3662809. The next prime is 3662831. The reversal of 3662820 is 282663.

3662820 is a `hidden beast` number, since 36 + 628 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3662809) and next prime (3662831).

It is a super-3 number, since 3×3662820³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192771 + ... + 192789.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

Almost surely, 2^3662820 is an apocalyptic number.

3662820 is a gapful number since it is divisible by the number (30) 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 3662820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318080).

3662820 is an abundant number, since it is smaller than the sum of its proper divisors (10973340).

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

3662820 is a wasteful number, since it uses less digits than its factorization.

3662820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3662820 is about 1913.8495238654. The cubic root of 3662820 is about 154.1482240742.

The spelling of 3662820 in words is "three million, six hundred sixty-two thousand, eight hundred twenty".