3682620 has 72 divisors (see below), whose sum is σ = 11466000. Its totient is φ = 956160.

The previous prime is 3682607. The next prime is 3682639. The reversal of 3682620 is 262863.

3682620 is a `hidden beast` number, since 36 + 8 + 2 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7131 + ... + 7629.

It is an arithmetic number, because the mean of its divisors is an integer number (159250).

Almost surely, 2^3682620 is an apocalyptic number.

3682620 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 3682620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733000).

3682620 is an abundant number, since it is smaller than the sum of its proper divisors (7783380).

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

3682620 is a wasteful number, since it uses less digits than its factorization.

3682620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 550 counting only the distinct ones).

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

The square root of 3682620 is about 1919.0153725283. The cubic root of 3682620 is about 154.4254832789.

The spelling of 3682620 in words is "three million, six hundred eighty-two thousand, six hundred twenty".