395835837696 has 432 divisors, whose sum is σ = 1255125231360. Its totient is φ = 119242506240.

The previous prime is 395835837611. The next prime is 395835837737. The reversal of 395835837696 is 696738538593.

395835837696 is a `hidden beast` number, since 3 + 9 + 583 + 5 + 8 + 37 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309972610 + ... + 309973886.

It is an arithmetic number, because the mean of its divisors is an integer number (2905382480).

Almost surely, 2^395835837696 is an apocalyptic number.

395835837696 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 395835837696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627562615680).

395835837696 is an abundant number, since it is smaller than the sum of its proper divisors (859289393664).

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

395835837696 is a wasteful number, since it uses less digits than its factorization.

395835837696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1505 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 395835837696 in words is "three hundred ninety-five billion, eight hundred thirty-five million, eight hundred thirty-seven thousand, six hundred ninety-six".