395083008000 has 1344 divisors, whose sum is σ = 1550071177200. Its totient is φ = 100329062400.

The previous prime is 395083007983. The next prime is 395083008011. The reversal of 395083008000 is 800380593.

It can be written as a sum of positive squares in 8 ways, for example, as 19833652224 + 375249355776 = 140832^2 + 612576^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5412095964 + ... + 5412096036.

Almost surely, 2^395083008000 is an apocalyptic number.

395083008000 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 395083008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775035588600).

395083008000 is an abundant number, since it is smaller than the sum of its proper divisors (1154988169200).

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

395083008000 is an frugal number, since it uses more digits than its factorization.

395083008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 395083008000 its reverse (800380593), we get a palindrome (395883388593).

The spelling of 395083008000 in words is "three hundred ninety-five billion, eighty-three million, eight thousand".