368148672 has 224 divisors, whose sum is σ = 1155801600. Its totient is φ = 114656256.

The previous prime is 368148667. The next prime is 368148673. The reversal of 368148672 is 276841863.

It is not an unprimeable number, because it can be changed into a prime (368148673) 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 31 ways as a sum of consecutive naturals, for example, 2344818 + ... + 2344974.

Almost surely, 2^368148672 is an apocalyptic number.

368148672 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 368148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577900800).

368148672 is an abundant number, since it is smaller than the sum of its proper divisors (787652928).

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

368148672 is a wasteful number, since it uses less digits than its factorization.

368148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 368148672 is about 19187.2007338225. The cubic root of 368148672 is about 716.7060646330.

The spelling of 368148672 in words is "three hundred sixty-eight million, one hundred forty-eight thousand, six hundred seventy-two".