368175444 has 192 divisors, whose sum is σ = 1121734656. Its totient is φ = 91339776.

The previous prime is 368175403. The next prime is 368175463. The reversal of 368175444 is 444571863.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 368175396 and 368175405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2687344 + ... + 2687480.

It is an arithmetic number, because the mean of its divisors is an integer number (5842368).

Almost surely, 2^368175444 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 368175444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560867328).

368175444 is an abundant number, since it is smaller than the sum of its proper divisors (753559212).

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

368175444 is a wasteful number, since it uses less digits than its factorization.

368175444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 368175444 is about 19187.8983737146. The cubic root of 368175444 is about 716.7234373152.

The spelling of 368175444 in words is "three hundred sixty-eight million, one hundred seventy-five thousand, four hundred forty-four".