3952816 has 40 divisors (see below), whose sum is σ = 9061920. Its totient is φ = 1634304.

The previous prime is 3952813. The next prime is 3952873. The reversal of 3952816 is 6182593.

It is a super-3 number, since 3×3952816³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2640 + ... + 3856.

It is an arithmetic number, because the mean of its divisors is an integer number (226548).

Almost surely, 2^3952816 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 3952816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530960).

3952816 is an abundant number, since it is smaller than the sum of its proper divisors (5109104).

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

3952816 is a wasteful number, since it uses less digits than its factorization.

3952816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1255 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 3952816 is about 1988.1690069006. The cubic root of 3952816 is about 158.1134686712.

The spelling of 3952816 in words is "three million, nine hundred fifty-two thousand, eight hundred sixteen".