3952241040384 has 2640 divisors, whose sum is σ = 16191834193920. Its totient is φ = 948109639680.

The previous prime is 3952241040383. The next prime is 3952241040401. The reversal of 3952241040384 is 4830401422593.

3952241040384 is a `hidden beast` number, since 3 + 9 + 5 + 224 + 1 + 0 + 40 + 384 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952241040383) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31120008129 + ... + 31120008255.

It is an arithmetic number, because the mean of its divisors is an integer number (6133270528).

Almost surely, 2^{3952241040384} 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 3952241040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095917096960).

3952241040384 is an abundant number, since it is smaller than the sum of its proper divisors (12239593153536).

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

3952241040384 is a wasteful number, since it uses less digits than its factorization.

3952241040384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3952241040384 in words is "three trillion, nine hundred fifty-two billion, two hundred forty-one million, forty thousand, three hundred eighty-four".