395986676400 has 840 divisors, whose sum is σ = 1637573521920. Its totient is φ = 90100200960.

The previous prime is 395986676389. The next prime is 395986676429. The reversal of 395986676400 is 4676689593.

395986676400 is a `hidden beast` number, since 3 + 95 + 9 + 86 + 67 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 855262569 + ... + 855263031.

It is an arithmetic number, because the mean of its divisors is an integer number (1949492288).

Almost surely, 2^395986676400 is an apocalyptic number.

395986676400 is a gapful number since it is divisible by the number (30) 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 395986676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818786760960).

395986676400 is an abundant number, since it is smaller than the sum of its proper divisors (1241586845520).

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

395986676400 is a wasteful number, since it uses less digits than its factorization.

395986676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 395986676400 in words is "three hundred ninety-five billion, nine hundred eighty-six million, six hundred seventy-six thousand, four hundred".