363078016434 has 256 divisors, whose sum is σ = 989865676800. Its totient is φ = 96346132992.

The previous prime is 363078016421. The next prime is 363078016481. The reversal of 363078016434 is 434610870363.

363078016434 is a `hidden beast` number, since 3 + 630 + 7 + 8 + 0 + 1 + 6 + 4 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 363078016434.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90699477 + ... + 90703479.

It is an arithmetic number, because the mean of its divisors is an integer number (3866662800).

Almost surely, 2^363078016434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363078016434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494932838400).

363078016434 is an abundant number, since it is smaller than the sum of its proper divisors (626787660366).

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

363078016434 is a wasteful number, since it uses less digits than its factorization.

363078016434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 363078016434 its reverse (434610870363), we get a palindrome (797688886797).

The spelling of 363078016434 in words is "three hundred sixty-three billion, seventy-eight million, sixteen thousand, four hundred thirty-four".