368415360 has 192 divisors, whose sum is σ = 1283143680. Its totient is φ = 97400832.

The previous prime is 368415353. The next prime is 368415367. The reversal of 368415360 is 63514863.

It is an interprime number because it is at equal distance from previous prime (368415353) and next prime (368415367).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (368415367) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 961729 + ... + 962111.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^368415360 is an apocalyptic number.

368415360 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 368415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

368415360 is an abundant number, since it is smaller than the sum of its proper divisors (914728320).

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

368415360 is a wasteful number, since it uses less digits than its factorization.

368415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 368415360 is about 19194.1491085174. The cubic root of 368415360 is about 716.8790842006.

It can be divided in two parts, 3684 and 15360, that added together give a square (19044 = 138²).

The spelling of 368415360 in words is "three hundred sixty-eight million, four hundred fifteen thousand, three hundred sixty".