364534020 has 144 divisors (see below), whose sum is σ = 1159075008. Its totient is φ = 96163200.

The previous prime is 364534007. The next prime is 364534073. The reversal of 364534020 is 20435463.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519670 + ... + 520370.

It is an arithmetic number, because the mean of its divisors is an integer number (8049132).

Almost surely, 2^364534020 is an apocalyptic number.

364534020 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 364534020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579537504).

364534020 is an abundant number, since it is smaller than the sum of its proper divisors (794540988).

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

364534020 is a wasteful number, since it uses less digits than its factorization.

364534020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 364534020 is about 19092.7740257931. The cubic root of 364534020 is about 714.3526963091.

Adding to 364534020 its reverse (20435463), we get a palindrome (384969483).

The spelling of 364534020 in words is "three hundred sixty-four million, five hundred thirty-four thousand, twenty".