368105472 has 240 divisors, whose sum is σ = 1260539280. Its totient is φ = 104841216.

The previous prime is 368105467. The next prime is 368105473. The reversal of 368105472 is 274501863.

368105472 is a `hidden beast` number, since 36 + 81 + 0 + 547 + 2 = 666.

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 (368105473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161058 + ... + 1161374.

It is an arithmetic number, because the mean of its divisors is an integer number (5252247).

Almost surely, 2^368105472 is an apocalyptic number.

368105472 is a gapful number since it is divisible by the number (32) 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 368105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630269640).

368105472 is an abundant number, since it is smaller than the sum of its proper divisors (892433808).

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

368105472 is an equidigital number, since it uses as much as digits as its factorization.

368105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 368105472 is about 19186.0749503383. The cubic root of 368105472 is about 716.6780298421.

The spelling of 368105472 in words is "three hundred sixty-eight million, one hundred five thousand, four hundred seventy-two".