3952385424 has 225 divisors, whose sum is σ = 12381938439. Its totient is φ = 1176888960.

The previous prime is 3952385407. The next prime is 3952385431. The reversal of 3952385424 is 4245832593.

The square root of 3952385424 is 62868.

It is a perfect power (a square), and thus also a powerful number.

3952385424 is a `hidden beast` number, since 3 + 9 + 523 + 85 + 42 + 4 = 666.

3952385424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1959655824 + 1992729600 = 44268^2 + 44640^2 .

Its product of digits (1036800) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3952385424.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 127496289 + ... + 127496319.

Almost surely, 2^3952385424 is an apocalyptic number.

3952385424 is the 62868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3952385424

3952385424 is an abundant number, since it is smaller than the sum of its proper divisors (8429553015).

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

3952385424 is an equidigital number, since it uses as much as digits as its factorization.

3952385424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 49 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The cubic root of 3952385424 is about 1581.0772741930.

It can be divided in two parts, 3952 and 385424, that added together give a square (389376 = 624²).

The spelling of 3952385424 in words is "three billion, nine hundred fifty-two million, three hundred eighty-five thousand, four hundred twenty-four".