364082004 has 144 divisors (see below), whose sum is σ = 1089728640. Its totient is φ = 101041920.

The previous prime is 364082003. The next prime is 364082023. The reversal of 364082004 is 400280463.

364082004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364082003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013977 + ... + 1014335.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2^364082004 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 364082004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544864320).

364082004 is an abundant number, since it is smaller than the sum of its proper divisors (725646636).

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

364082004 is a wasteful number, since it uses less digits than its factorization.

364082004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 364082004 is about 19080.9329960566. The cubic root of 364082004 is about 714.0573124439.

The spelling of 364082004 in words is "three hundred sixty-four million, eighty-two thousand, four".