368012089600 has 81 divisors (see below), whose sum is σ = 911007561793. Its totient is φ = 147185423360.

The previous prime is 368012089589. The next prime is 368012089637. The reversal of 368012089600 is 6980210863.

The square root of 368012089600 is 606640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 132484352256 + 235527737344 = 363984^2 + 485312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48527409 + ... + 48534991.

Almost surely, 2^368012089600 is an apocalyptic number.

368012089600 is the 606640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368012089600

368012089600 is an abundant number, since it is smaller than the sum of its proper divisors (542995472193).

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

368012089600 is an frugal number, since it uses more digits than its factorization.

368012089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 368012089600 in words is "three hundred sixty-eight billion, twelve million, eighty-nine thousand, six hundred".