3952472822144 has 384 divisors, whose sum is σ = 10762997731200. Its totient is φ = 1424928153600.

The previous prime is 3952472822131. The next prime is 3952472822147. The reversal of 3952472822144 is 4412282742593.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952472822147) 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, 56331404 + ... + 56401524.

It is an arithmetic number, because the mean of its divisors is an integer number (28028639925).

Almost surely, 2^{3952472822144} 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 3952472822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381498865600).

3952472822144 is an abundant number, since it is smaller than the sum of its proper divisors (6810524909056).

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

3952472822144 is a wasteful number, since it uses less digits than its factorization.

3952472822144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70222 (or 70203 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 53.

The spelling of 3952472822144 in words is "three trillion, nine hundred fifty-two billion, four hundred seventy-two million, eight hundred twenty-two thousand, one hundred forty-four".