368006724 has 72 divisors (see below), whose sum is σ = 948605112. Its totient is φ = 120268800.

The previous prime is 368006713. The next prime is 368006729. The reversal of 368006724 is 427600863.

It can be written as a sum of positive squares in 4 ways, for example, as 71064900 + 296941824 = 8430^2 + 17232^2 .

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 (368006729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612024 + ... + 612624.

It is an arithmetic number, because the mean of its divisors is an integer number (13175071).

Almost surely, 2^368006724 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 368006724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474302556).

368006724 is an abundant number, since it is smaller than the sum of its proper divisors (580598388).

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

368006724 is a wasteful number, since it uses less digits than its factorization.

368006724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 368006724 is about 19183.5013488153. The cubic root of 368006724 is about 716.6139387443.

The spelling of 368006724 in words is "three hundred sixty-eight million, six thousand, seven hundred twenty-four".