3952240128 has 200 divisors, whose sum is σ = 11891090112. Its totient is φ = 1306865664.

The previous prime is 3952240111. The next prime is 3952240169. The reversal of 3952240128 is 8210422593.

It is a happy number.

3952240128 is a `hidden beast` number, since 3 + 9 + 522 + 4 + 0 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3952240092 and 3952240101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6510801 + ... + 6511407.

Almost surely, 2^3952240128 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 3952240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945545056).

3952240128 is an abundant number, since it is smaller than the sum of its proper divisors (7938849984).

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

3952240128 is an equidigital number, since it uses as much as digits as its factorization.

3952240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3952240128 is about 62866.8444253408. The cubic root of 3952240128 is about 1581.0578996471.

The spelling of 3952240128 in words is "three billion, nine hundred fifty-two million, two hundred forty thousand, one hundred twenty-eight".