3957516 has 36 divisors (see below), whose sum is σ = 10070424. Its totient is φ = 1310400.

The previous prime is 3957509. The next prime is 3957521. The reversal of 3957516 is 6157593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7336 + ... + 7856.

It is an arithmetic number, because the mean of its divisors is an integer number (279734).

Almost surely, 2^3957516 is an apocalyptic number.

3957516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3957516 is an abundant number, since it is smaller than the sum of its proper divisors (6112908).

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

3957516 is a wasteful number, since it uses less digits than its factorization.

3957516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 737 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 3957516 is about 1989.3506478246. The cubic root of 3957516 is about 158.1761108451.

The spelling of 3957516 in words is "three million, nine hundred fifty-seven thousand, five hundred sixteen".