395752101696 has 672 divisors, whose sum is σ = 1442680579200. Its totient is φ = 107085597696.

The previous prime is 395752101571. The next prime is 395752101697. The reversal of 395752101696 is 696101257593.

395752101696 is a `hidden beast` number, since 3 + 9 + 57 + 521 + 0 + 1 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×395752101696² (a number of 24 digits) contains 22 as substring.

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 (395752101697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130308690 + ... + 130311726.

It is an arithmetic number, because the mean of its divisors is an integer number (2146846100).

Almost surely, 2^395752101696 is an apocalyptic number.

395752101696 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 395752101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721340289600).

395752101696 is an abundant number, since it is smaller than the sum of its proper divisors (1046928477504).

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

395752101696 is an equidigital number, since it uses as much as digits as its factorization.

395752101696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 395752101696 in words is "three hundred ninety-five billion, seven hundred fifty-two million, one hundred one thousand, six hundred ninety-six".