395735731920 has 200 divisors, whose sum is σ = 1377160594920. Its totient is φ = 105321323520.

The previous prime is 395735731891. The next prime is 395735731927. The reversal of 395735731920 is 29137537593.

395735731920 is a `hidden beast` number, since 3 + 9 + 57 + 3 + 573 + 19 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9736952976 + 385998778944 = 98676^2 + 621288^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395735731927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3238330 + ... + 3358310.

Almost surely, 2^395735731920 is an apocalyptic number.

395735731920 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 395735731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688580297460).

395735731920 is an abundant number, since it is smaller than the sum of its proper divisors (981424863000).

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

395735731920 is a wasteful number, since it uses less digits than its factorization.

395735731920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120515 (or 120500 counting only the distinct ones).

The product of its (nonzero) digits is 5358150, while the sum is 54.

The spelling of 395735731920 in words is "three hundred ninety-five billion, seven hundred thirty-five million, seven hundred thirty-one thousand, nine hundred twenty".