3952370808960 has 512 divisors, whose sum is σ = 14622197760000. Its totient is φ = 889393250304.

The previous prime is 3952370808917. The next prime is 3952370808961. The reversal of 3952370808960 is 698080732593.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3952370808894 and 3952370808903.

It is not an unprimeable number, because it can be changed into a prime (3952370808961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381166656 + ... + 381177024.

It is an arithmetic number, because the mean of its divisors is an integer number (28558980000).

Almost surely, 2^{3952370808960} is an apocalyptic number.

3952370808960 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 3952370808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7311098880000).

3952370808960 is an abundant number, since it is smaller than the sum of its proper divisors (10669826951040).

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

3952370808960 is a wasteful number, since it uses less digits than its factorization.

3952370808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 3952370808960 in words is "three trillion, nine hundred fifty-two billion, three hundred seventy million, eight hundred eight thousand, nine hundred sixty".