3963053952 has 480 divisors, whose sum is σ = 14018290440. Its totient is φ = 1108546560.

The previous prime is 3963053911. The next prime is 3963053977. The reversal of 3963053952 is 2593503693.

3963053952 is a `hidden beast` number, since 3 + 9 + 63 + 0 + 539 + 52 = 666.

3963053952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3963053898 and 3963053907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 304850298 + ... + 304850310.

Almost surely, 2^3963053952 is an apocalyptic number.

3963053952 is a gapful number since it is divisible by the number (32) 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 3963053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009145220).

3963053952 is an abundant number, since it is smaller than the sum of its proper divisors (10055236488).

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

3963053952 is an frugal number, since it uses more digits than its factorization.

3963053952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 45.

The square root of 3963053952 is about 62952.7914551849. The cubic root of 3963053952 is about 1582.4985772993.

The spelling of 3963053952 in words is "three billion, nine hundred sixty-three million, fifty-three thousand, nine hundred fifty-two".