368561088 has 336 divisors, whose sum is σ = 1350385920. Its totient is φ = 93560832.

The previous prime is 368561057. The next prime is 368561129. The reversal of 368561088 is 880165863.

368561088 is a `hidden beast` number, since 3 + 6 + 8 + 561 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-4 number, since 4×368561088⁴ (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302195 + ... + 1302477.

Almost surely, 2^368561088 is an apocalyptic number.

368561088 is a gapful number since it is divisible by the number (38) 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 368561088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675192960).

368561088 is an abundant number, since it is smaller than the sum of its proper divisors (981824832).

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

368561088 is a wasteful number, since it uses less digits than its factorization.

368561088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 368561088 is about 19197.9448900136. The cubic root of 368561088 is about 716.9735930939.

The spelling of 368561088 in words is "three hundred sixty-eight million, five hundred sixty-one thousand, eighty-eight".