368358144 has 144 divisors (see below), whose sum is σ = 1222475520. Its totient is φ = 95662080.

The previous prime is 368358139. The next prime is 368358157. The reversal of 368358144 is 441853863.

It is a super-2 number, since 2×368358144² = 271375444502249472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 368358096 and 368358105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56022 + ... + 62250.

Almost surely, 2^368358144 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 368358144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611237760).

368358144 is an abundant number, since it is smaller than the sum of its proper divisors (854117376).

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

368358144 is a wasteful number, since it uses less digits than its factorization.

368358144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266 (or 6252 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 368358144 is about 19192.6585964530. The cubic root of 368358144 is about 716.8419711287.

The spelling of 368358144 in words is "three hundred sixty-eight million, three hundred fifty-eight thousand, one hundred forty-four".