395537688 has 128 divisors (see below), whose sum is σ = 1352332800. Its totient is φ = 104312448.

The previous prime is 395537633. The next prime is 395537689. The reversal of 395537688 is 886735593.

It is a happy number.

395537688 is a `hidden beast` number, since 3 + 9 + 553 + 7 + 6 + 88 = 666.

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 (395537689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9595 + ... + 29717.

It is an arithmetic number, because the mean of its divisors is an integer number (10565100).

Almost surely, 2^395537688 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 395537688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676166400).

395537688 is an abundant number, since it is smaller than the sum of its proper divisors (956795112).

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

395537688 is a wasteful number, since it uses less digits than its factorization.

395537688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20158 (or 20148 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 395537688 is about 19888.1293237951. The cubic root of 395537688 is about 734.0561646049.

The spelling of 395537688 in words is "three hundred ninety-five million, five hundred thirty-seven thousand, six hundred eighty-eight".