364038 has 32 divisors (see below), whose sum is σ = 798336. Its totient is φ = 110208.

The previous prime is 364031. The next prime is 364069. The reversal of 364038 is 830463.

It is a junction number, because it is equal to n+sod(n) for n = 363999 and 364017.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364038.

It is not an unprimeable number, because it can be changed into a prime (364031) by changing a digit.

364038 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4345 + ... + 4427.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2³⁶⁴⁰³⁸ is an apocalyptic number.

364038 is an abundant number, since it is smaller than the sum of its proper divisors (434298).

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

364038 is a wasteful number, since it uses less digits than its factorization.

364038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 364038 is about 603.3556165314. The cubic root of 364038 is about 71.4028543610.

The spelling of 364038 in words is "three hundred sixty-four thousand, thirty-eight".