3962363328 has 336 divisors, whose sum is σ = 14511893760. Its totient is φ = 1003622400.

The previous prime is 3962363299. The next prime is 3962363333. The reversal of 3962363328 is 8233632693.

3962363328 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 3 + 633 + 2 + 8 = 666.

3962363328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1817343 + ... + 1819521.

It is an arithmetic number, because the mean of its divisors is an integer number (43190160).

Almost surely, 2^3962363328 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 3962363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255946880).

3962363328 is an abundant number, since it is smaller than the sum of its proper divisors (10549530432).

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

3962363328 is a wasteful number, since it uses less digits than its factorization.

3962363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2243 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 3962363328 is about 62947.3059630037. The cubic root of 3962363328 is about 1582.4066469343.

The spelling of 3962363328 in words is "three billion, nine hundred sixty-two million, three hundred sixty-three thousand, three hundred twenty-eight".