368343075360 has 384 divisors, whose sum is σ = 1318556413440. Its totient is φ = 85749497856.

The previous prime is 368343075341. The next prime is 368343075371. The reversal of 368343075360 is 63570343863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12758862 + ... + 12787698.

It is an arithmetic number, because the mean of its divisors is an integer number (3433740660).

Almost surely, 2^368343075360 is an apocalyptic number.

368343075360 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 368343075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659278206720).

368343075360 is an abundant number, since it is smaller than the sum of its proper divisors (950213338080).

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

368343075360 is a wasteful number, since it uses less digits than its factorization.

368343075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28980 (or 28972 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 368343075360 in words is "three hundred sixty-eight billion, three hundred forty-three million, seventy-five thousand, three hundred sixty".