368940960 has 192 divisors, whose sum is σ = 1323423360. Its totient is φ = 95938560.

The previous prime is 368940947. The next prime is 368940967. The reversal of 368940960 is 69049863.

It is a super-2 number, since 2×368940960² = 272234863931443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (368940967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176079 + ... + 178161.

It is an arithmetic number, because the mean of its divisors is an integer number (6892830).

Almost surely, 2^368940960 is an apocalyptic number.

368940960 is a gapful number since it is divisible by the number (30) 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 368940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661711680).

368940960 is an abundant number, since it is smaller than the sum of its proper divisors (954482400).

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

368940960 is a wasteful number, since it uses less digits than its factorization.

368940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 368940960 is about 19207.8359010067. The cubic root of 368940960 is about 717.2198342037.

The spelling of 368940960 in words is "three hundred sixty-eight million, nine hundred forty thousand, nine hundred sixty".