364220728100 has 18 divisors (see below), whose sum is σ = 790358980194. Its totient is φ = 145688291200.

The previous prime is 364220728063. The next prime is 364220728103. The reversal of 364220728100 is 1827022463.

It can be written as a sum of positive squares in 3 ways, for example, as 2278916644 + 361941811456 = 47738^2 + 601616^2 .

It is a super-2 number, since 2×364220728100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (364220728103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1821103541 + ... + 1821103740.

It is an arithmetic number, because the mean of its divisors is an integer number (43908832233).

Almost surely, 2^364220728100 is an apocalyptic number.

It is an amenable number.

364220728100 is an abundant number, since it is smaller than the sum of its proper divisors (426138252094).

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

364220728100 is a wasteful number, since it uses less digits than its factorization.

364220728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642207295 (or 3642207288 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 364220728100 in words is "three hundred sixty-four billion, two hundred twenty million, seven hundred twenty-eight thousand, one hundred".