395437756896 has 1512 divisors, whose sum is σ = 1551459374640. Its totient is φ = 98636009472.

The previous prime is 395437756877. The next prime is 395437756907. The reversal of 395437756896 is 698657734593.

395437756896 is a `hidden beast` number, since 3 + 9 + 54 + 3 + 7 + 7 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

Its product of digits (1028764800) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 4443120820 + ... + 4443120908.

It is an arithmetic number, because the mean of its divisors is an integer number (1026097470).

Almost surely, 2^395437756896 is an apocalyptic number.

395437756896 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 395437756896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775729687320).

395437756896 is an abundant number, since it is smaller than the sum of its proper divisors (1156021617744).

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

395437756896 is a wasteful number, since it uses less digits than its factorization.

395437756896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 395437756896 in words is "three hundred ninety-five billion, four hundred thirty-seven million, seven hundred fifty-six thousand, eight hundred ninety-six".