395783136 has 144 divisors (see below), whose sum is σ = 1296588384. Its totient is φ = 112177152.

The previous prime is 395783131. The next prime is 395783147. The reversal of 395783136 is 631387593.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 395783091 and 395783100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395783131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275476 + ... + 276908.

It is an arithmetic number, because the mean of its divisors is an integer number (9004086).

Almost surely, 2^395783136 is an apocalyptic number.

395783136 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 395783136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648294192).

395783136 is an abundant number, since it is smaller than the sum of its proper divisors (900805248).

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

395783136 is a wasteful number, since it uses less digits than its factorization.

395783136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1582 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 395783136 is about 19894.2990829031. The cubic root of 395783136 is about 734.2079709246.

The spelling of 395783136 in words is "three hundred ninety-five million, seven hundred eighty-three thousand, one hundred thirty-six".