361628282880 has 624 divisors, whose sum is σ = 1362437207040. Its totient is φ = 88385126400.

The previous prime is 361628282867. The next prime is 361628282933. The reversal of 361628282880 is 88282826163.

361628282880 is a `hidden beast` number, since 3 + 6 + 1 + 628 + 2 + 8 + 2 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108562815 + ... + 108566145.

It is an arithmetic number, because the mean of its divisors is an integer number (2183392960).

Almost surely, 2^361628282880 is an apocalyptic number.

361628282880 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 361628282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681218603520).

361628282880 is an abundant number, since it is smaller than the sum of its proper divisors (1000808924160).

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

361628282880 is a wasteful number, since it uses less digits than its factorization.

361628282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 361628282880 in words is "three hundred sixty-one billion, six hundred twenty-eight million, two hundred eighty-two thousand, eight hundred eighty".