3952242460672 has 288 divisors, whose sum is σ = 9235092484800. Its totient is φ = 1684869120000.

The previous prime is 3952242460669. The next prime is 3952242460763. The reversal of 3952242460672 is 2760642422593.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475539397 + ... + 475547707.

It is an arithmetic number, because the mean of its divisors is an integer number (32066293350).

Almost surely, 2^{3952242460672} is an apocalyptic number.

3952242460672 is a gapful number since it is divisible by the number (32) 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 3952242460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617546242400).

3952242460672 is an abundant number, since it is smaller than the sum of its proper divisors (5282850024128).

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

3952242460672 is a wasteful number, since it uses less digits than its factorization.

3952242460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 3952242460672 in words is "three trillion, nine hundred fifty-two billion, two hundred forty-two million, four hundred sixty thousand, six hundred seventy-two".