368640000 has 255 divisors, whose sum is σ = 1330763863. Its totient is φ = 98304000.

The previous prime is 368639983. The next prime is 368640017. The reversal of 368640000 is 46863.

The square root of 368640000 is 19200.

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

It is an interprime number because it is at equal distance from previous prime (368639983) and next prime (368640017).

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 339738624 = 5376^2 + 18432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 73727998 + ... + 73728002.

Almost surely, 2^368640000 is an apocalyptic number.

368640000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

368640000 is the 19200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368640000

368640000 is an abundant number, since it is smaller than the sum of its proper divisors (962123863).

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

368640000 is an frugal number, since it uses more digits than its factorization.

368640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 368640000 is about 717.0247594491.

Adding to 368640000 its reverse (46863), we get a palindrome (368686863).

The spelling of 368640000 in words is "three hundred sixty-eight million, six hundred forty thousand".