3952418816 has 112 divisors (see below), whose sum is σ = 8304215040. Its totient is φ = 1878589440.

The previous prime is 3952418803. The next prime is 3952418839. The reversal of 3952418816 is 6188142593.

It is a happy number.

It is a super-2 number, since 2×3952418816² = 31243228994141683712, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30171071 + ... + 30171201.

Almost surely, 2^3952418816 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 3952418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152107520).

3952418816 is an abundant number, since it is smaller than the sum of its proper divisors (4351796224).

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

3952418816 is a wasteful number, since it uses less digits than its factorization.

3952418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its digits is 414720, while the sum is 47.

The square root of 3952418816 is about 62868.2655717493. The cubic root of 3952418816 is about 1581.0817267938.

The spelling of 3952418816 in words is "three billion, nine hundred fifty-two million, four hundred eighteen thousand, eight hundred sixteen".