368398368 has 270 divisors, whose sum is σ = 1215052839. Its totient is φ = 109444608.

The previous prime is 368398333. The next prime is 368398399. The reversal of 368398368 is 863893863.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 61027344 + 307371024 = 7812^2 + 17532^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13572.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12703378 + ... + 12703406.

Almost surely, 2^368398368 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 368398368

368398368 is an abundant number, since it is smaller than the sum of its proper divisors (846654471).

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

368398368 is a wasteful number, since it uses less digits than its factorization.

368398368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 368398368 is about 19193.7064685276. The cubic root of 368398368 is about 716.8680627666.

It can be divided in two parts, 36 and 8398368, that added together give a square (8398404 = 2898²).

The spelling of 368398368 in words is "three hundred sixty-eight million, three hundred ninety-eight thousand, three hundred sixty-eight".