3680964 has 72 divisors (see below), whose sum is σ = 11048128. Its totient is φ = 1049760.

The previous prime is 3680953. The next prime is 3680983. The reversal of 3680964 is 4690863.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3³ + 6⁸ + 8³ + 0 + 9⁵ + 6⁸ + 4⁹ .

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, 6534 + ... + 7074.

Almost surely, 2^3680964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524064).

3680964 is an abundant number, since it is smaller than the sum of its proper divisors (7367164).

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

3680964 is a wasteful number, since it uses less digits than its factorization.

3680964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3680964 is about 1918.5838527414. The cubic root of 3680964 is about 154.4023324659.

The spelling of 3680964 in words is "three million, six hundred eighty thousand, nine hundred sixty-four".