3820635 has 64 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 1607040.

The previous prime is 3820627. The next prime is 3820651. The reversal of 3820635 is 5360283.

3820635 is a `hidden beast` number, since 3 + 8 + 20 + 635 = 666.

It is not a de Polignac number, because 3820635 - 2³ = 3820627 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 3820599 and 3820608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12130 + ... + 12440.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^3820635 is an apocalyptic number.

3820635 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3820635 is an abundant number, since it is smaller than the sum of its proper divisors (4565925).

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

3820635 is a wasteful number, since it uses less digits than its factorization.

3820635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3820635 is about 1954.6444689508. The cubic root of 3820635 is about 156.3310278401.

The spelling of 3820635 in words is "three million, eight hundred twenty thousand, six hundred thirty-five".