3952308800916 has 216 divisors, whose sum is σ = 11816130240096. Its totient is φ = 1110348570240.

The previous prime is 3952308800911. The next prime is 3952308800941. The reversal of 3952308800916 is 6190088032593.

3952308800916 is a `hidden beast` number, since 39 + 523 + 0 + 8 + 80 + 0 + 9 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952308800911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 562442595 + ... + 562449621.

Almost surely, 2^{3952308800916} is an apocalyptic number.

3952308800916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3952308800916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908065120048).

3952308800916 is an abundant number, since it is smaller than the sum of its proper divisors (7863821439180).

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

3952308800916 is a wasteful number, since it uses less digits than its factorization.

3952308800916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339 (or 12327 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 3952308800916 in words is "three trillion, nine hundred fifty-two billion, three hundred eight million, eight hundred thousand, nine hundred sixteen".