368550720 has 168 divisors, whose sum is σ = 1285759176. Its totient is φ = 96878592.

The previous prime is 368550697. The next prime is 368550727. The reversal of 368550720 is 27055863.

368550720 is a `hidden beast` number, since 36 + 8 + 550 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 367718976 = 912^2 + 19176^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368550727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209364 + ... + 211116.

Almost surely, 2^368550720 is an apocalyptic number.

368550720 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 368550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642879588).

368550720 is an abundant number, since it is smaller than the sum of its proper divisors (917208456).

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

368550720 is a wasteful number, since it uses less digits than its factorization.

368550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 368550720 is about 19197.6748592115. The cubic root of 368550720 is about 716.9668699642.

The spelling of 368550720 in words is "three hundred sixty-eight million, five hundred fifty thousand, seven hundred twenty".