3952437923520 has 1344 divisors, whose sum is σ = 15105683174400. Its totient is φ = 981970698240.

The previous prime is 3952437923509. The next prime is 3952437923569. The reversal of 3952437923520 is 253297342593.

3952437923520 is a `hidden beast` number, since 3 + 9 + 5 + 2 + 43 + 79 + 2 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8115888717 + ... + 8115889203.

It is an arithmetic number, because the mean of its divisors is an integer number (11239347600).

Almost surely, 2^{3952437923520} is an apocalyptic number.

3952437923520 is a gapful number since it is divisible by the number (30) 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 3952437923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552841587200).

3952437923520 is an abundant number, since it is smaller than the sum of its proper divisors (11153245250880).

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

3952437923520 is a wasteful number, since it uses less digits than its factorization.

3952437923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 3952437923520 in words is "three trillion, nine hundred fifty-two billion, four hundred thirty-seven million, nine hundred twenty-three thousand, five hundred twenty".