3952295424 has 640 divisors, whose sum is σ = 15084748800. Its totient is φ = 992010240.

The previous prime is 3952295387. The next prime is 3952295461. The reversal of 3952295424 is 4245922593.

3952295424 is a `hidden beast` number, since 39 + 52 + 29 + 542 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3952295387) and next prime (3952295461).

It is a self number, because there is not a number n which added to its sum of digits gives 3952295424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50029017 + ... + 50029095.

It is an arithmetic number, because the mean of its divisors is an integer number (23569920).

Almost surely, 2^3952295424 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 3952295424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542374400).

3952295424 is an abundant number, since it is smaller than the sum of its proper divisors (11132453376).

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

3952295424 is a wasteful number, since it uses less digits than its factorization.

3952295424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

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

The square root of 3952295424 is about 62867.2842104699. The cubic root of 3952295424 is about 1581.0652731675.

The spelling of 3952295424 in words is "three billion, nine hundred fifty-two million, two hundred ninety-five thousand, four hundred twenty-four".