368461872 has 120 divisors (see below), whose sum is σ = 1081503696. Its totient is φ = 121430016.

The previous prime is 368461871. The next prime is 368461901. The reversal of 368461872 is 278164863.

It is a super-2 number, since 2×368461872² = 271528302235488768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (368461871) 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, 376648 + ... + 377624.

Almost surely, 2^368461872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368461872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540751848).

368461872 is an abundant number, since it is smaller than the sum of its proper divisors (713041824).

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

368461872 is an equidigital number, since it uses as much as digits as its factorization.

368461872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1079 counting only the distinct ones).

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

The square root of 368461872 is about 19195.3606895000. The cubic root of 368461872 is about 716.9092513077.

It can be divided in two parts, 3684 and 61872, that added together give a palindrome (65556).

The spelling of 368461872 in words is "three hundred sixty-eight million, four hundred sixty-one thousand, eight hundred seventy-two".