395125344 has 96 divisors (see below), whose sum is σ = 1161578880. Its totient is φ = 130665600.

The previous prime is 395125343. The next prime is 395125351. The reversal of 395125344 is 443521593.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×395125344³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 395125299 and 395125308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395125343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111439 + ... + 114929.

It is an arithmetic number, because the mean of its divisors is an integer number (12099780).

Almost surely, 2^395125344 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 395125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580789440).

395125344 is an abundant number, since it is smaller than the sum of its proper divisors (766453536).

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

395125344 is a wasteful number, since it uses less digits than its factorization.

395125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3627 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 395125344 is about 19877.7600347725. The cubic root of 395125344 is about 733.8009938953.

The spelling of 395125344 in words is "three hundred ninety-five million, one hundred twenty-five thousand, three hundred forty-four".