368009064 has 48 divisors (see below), whose sum is σ = 1055323620. Its totient is φ = 115453440.

The previous prime is 368009063. The next prime is 368009077. The reversal of 368009064 is 460900863.

It can be written as a sum of positive squares in 2 ways, for example, as 367028964 + 980100 = 19158^2 + 990^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (368009063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149107 + ... + 151554.

Almost surely, 2^368009064 is an apocalyptic number.

368009064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

368009064 is an abundant number, since it is smaller than the sum of its proper divisors (687314556).

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

368009064 is a wasteful number, since it uses less digits than its factorization.

368009064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300690 (or 300683 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 368009064 is about 19183.5623386273. The cubic root of 368009064 is about 716.6154576233.

The spelling of 368009064 in words is "three hundred sixty-eight million, nine thousand, sixty-four".