395868903360 has 1344 divisors, whose sum is σ = 1665565701120. Its totient is φ = 77662126080.

The previous prime is 395868903337. The next prime is 395868903403. The reversal of 395868903360 is 63309868593.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 395868903294 and 395868903303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1195978395 + ... + 1195978725.

Almost surely, 2^395868903360 is an apocalyptic number.

395868903360 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 395868903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832782850560).

395868903360 is an abundant number, since it is smaller than the sum of its proper divisors (1269696797760).

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

395868903360 is a wasteful number, since it uses less digits than its factorization.

395868903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 395868903360 in words is "three hundred ninety-five billion, eight hundred sixty-eight million, nine hundred three thousand, three hundred sixty".