3960684 has 144 divisors (see below), whose sum is σ = 13117440. Its totient is φ = 1010880.

The previous prime is 3960673. The next prime is 3960689. The reversal of 3960684 is 4860693.

3960684 = T₇₂ + T₇₃ + ... + T₂₈₈.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127749 + ... + 127779.

Almost surely, 2^3960684 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 3960684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558720).

3960684 is an abundant number, since it is smaller than the sum of its proper divisors (9156756).

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

3960684 is a wasteful number, since it uses less digits than its factorization.

3960684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

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

The square root of 3960684 is about 1990.1467282590. The cubic root of 3960684 is about 158.2183063593.

Subtracting 3960684 from its reverse (4860693), we obtain a palindrome (900009).

The spelling of 3960684 in words is "three million, nine hundred sixty thousand, six hundred eighty-four".