3680776 has 32 divisors (see below), whose sum is σ = 7606080. Its totient is φ = 1656000.

The previous prime is 3680753. The next prime is 3680791. The reversal of 3680776 is 6770863.

It is a super-2 number, since 2×3680776² = 27096223924352, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13150 + ... + 13426.

It is an arithmetic number, because the mean of its divisors is an integer number (237690).

Almost surely, 2^3680776 is an apocalyptic number.

3680776 is the 1108-th octagonal number.

3680776 is the 1026-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803040).

3680776 is an abundant number, since it is smaller than the sum of its proper divisors (3925304).

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

3680776 is a wasteful number, since it uses less digits than its factorization.

3680776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 3680776 is about 1918.5348576453. The cubic root of 3680776 is about 154.3997037946.

The spelling of 3680776 in words is "three million, six hundred eighty thousand, seven hundred seventy-six".