3966155424 has 432 divisors, whose sum is σ = 14430648960. Its totient is φ = 1011225600.

The previous prime is 3966155387. The next prime is 3966155477. The reversal of 3966155424 is 4245516693.

3966155424 = 205² + 206² + ... + 2283².

3966155424 is a `hidden beast` number, since 3 + 9 + 6 + 615 + 5 + 4 + 24 = 666.

3966155424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3966155424.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17319342 + ... + 17319570.

It is an arithmetic number, because the mean of its divisors is an integer number (33404280).

Almost surely, 2^3966155424 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 3966155424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215324480).

3966155424 is an abundant number, since it is smaller than the sum of its proper divisors (10464493536).

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

3966155424 is a wasteful number, since it uses less digits than its factorization.

3966155424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3966155424 is about 62977.4199535040. The cubic root of 3966155424 is about 1582.9112889182.

The spelling of 3966155424 in words is "three billion, nine hundred sixty-six million, one hundred fifty-five thousand, four hundred twenty-four".