3957616 has 40 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 1787136.

The previous prime is 3957571. The next prime is 3957637. The reversal of 3957616 is 6167593.

3957616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3957616⁴ (a number of 27 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10845 + ... + 11203.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 2^3957616 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 3957616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

3957616 is an abundant number, since it is smaller than the sum of its proper divisors (4479344).

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

3957616 is a wasteful number, since it uses less digits than its factorization.

3957616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its digits is 34020, while the sum is 37.

The square root of 3957616 is about 1989.3757814953. The cubic root of 3957616 is about 158.1774431184.

The spelling of 3957616 in words is "three million, nine hundred fifty-seven thousand, six hundred sixteen".