3965016420 has 252 divisors, whose sum is σ = 13275739764. Its totient is φ = 994083840.

The previous prime is 3965016413. The next prime is 3965016427. The reversal of 3965016420 is 246105693.

It is a happy number.

3965016420 is a `hidden beast` number, since 3 + 9 + 6 + 5 + 0 + 1 + 642 + 0 = 666.

3965016420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3965016413) and next prime (3965016427).

It can be written as a sum of positive squares in 6 ways, for example, as 313714944 + 3651301476 = 17712^2 + 60426^2 .

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 (3965016427) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4213150 + ... + 4214090.

It is an arithmetic number, because the mean of its divisors is an integer number (52681507).

Almost surely, 2^3965016420 is an apocalyptic number.

3965016420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637869882).

3965016420 is an abundant number, since it is smaller than the sum of its proper divisors (9310723344).

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

3965016420 is a wasteful number, since it uses less digits than its factorization.

3965016420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3965016420 is about 62968.3763487673. The cubic root of 3965016420 is about 1582.7597471256.

The spelling of 3965016420 in words is "three billion, nine hundred sixty-five million, sixteen thousand, four hundred twenty".