3952634265216 has 384 divisors, whose sum is σ = 14450502743040. Its totient is φ = 1008824647680.

The previous prime is 3952634265211. The next prime is 3952634265271. The reversal of 3952634265216 is 6125624362593.

3952634265216 is a `hidden beast` number, since 3 + 9 + 5 + 26 + 342 + 65 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3952634265211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2641656 + ... + 3857928.

It is an arithmetic number, because the mean of its divisors is an integer number (37631517560).

Almost surely, 2^{3952634265216} is an apocalyptic number.

3952634265216 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 3952634265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225251371520).

3952634265216 is an abundant number, since it is smaller than the sum of its proper divisors (10497868477824).

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

3952634265216 is a wasteful number, since it uses less digits than its factorization.

3952634265216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216344 (or 1216329 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 3952634265216 in words is "three trillion, nine hundred fifty-two billion, six hundred thirty-four million, two hundred sixty-five thousand, two hundred sixteen".