3981516 has 96 divisors (see below), whose sum is σ = 12042240. Its totient is φ = 993600.

The previous prime is 3981503. The next prime is 3981517. The reversal of 3981516 is 6151893.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28575 + ... + 28713.

It is an arithmetic number, because the mean of its divisors is an integer number (125440).

Almost surely, 2^3981516 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 3981516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021120).

3981516 is an abundant number, since it is smaller than the sum of its proper divisors (8060724).

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

3981516 is a wasteful number, since it uses less digits than its factorization.

3981516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 193 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 3981516 is about 1995.3736492196. The cubic root of 3981516 is about 158.4952149205.

The spelling of 3981516 in words is "three million, nine hundred eighty-one thousand, five hundred sixteen".