368750720 has 256 divisors, whose sum is σ = 1036385280. Its totient is φ = 124354560.

The previous prime is 368750687. The next prime is 368750731. The reversal of 368750720 is 27057863.

368750720 = 273² + 274² + ... + 1040².

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7845737 + ... + 7845783.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2^368750720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).

368750720 is an abundant number, since it is smaller than the sum of its proper divisors (667634560).

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

368750720 is a wasteful number, since it uses less digits than its factorization.

368750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 368750720 is about 19202.8831168656. The cubic root of 368750720 is about 717.0965377284.

The spelling of 368750720 in words is "three hundred sixty-eight million, seven hundred fifty thousand, seven hundred twenty".