395035398576 has 640 divisors, whose sum is σ = 1472905728000. Its totient is φ = 98515574784.

The previous prime is 395035398551. The next prime is 395035398577. The reversal of 395035398576 is 675893530593.

395035398576 is a `hidden beast` number, since 3 + 9 + 5 + 0 + 3 + 53 + 9 + 8 + 576 = 666.

It is a super-2 number, since 2×395035398576² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (395035398577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80469210 + ... + 80474118.

It is an arithmetic number, because the mean of its divisors is an integer number (2301415200).

Almost surely, 2^395035398576 is an apocalyptic number.

395035398576 is a gapful number since it is divisible by the number (36) 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 395035398576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736452864000).

395035398576 is an abundant number, since it is smaller than the sum of its proper divisors (1077870329424).

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

395035398576 is a wasteful number, since it uses less digits than its factorization.

395035398576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 395035398576 in words is "three hundred ninety-five billion, thirty-five million, three hundred ninety-eight thousand, five hundred seventy-six".